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1113715920 = 2435311071399
BaseRepresentation
bin100001001100001…
…1111010011010000
32212121122122000210
41002120133103100
54240102402140
6302302444120
736412300122
oct10230372320
92777578023
101113715920
11521733289
12270b93640
13149973a05
14a7cad212
1567b94d80
hex4261f4d0

1113715920 has 160 divisors (see below), whose sum is σ = 3599769600. Its totient is φ = 284520960.

The previous prime is 1113715907. The next prime is 1113715921. The reversal of 1113715920 is 295173111.

It is a super-2 number, since 2×11137159202 = 2480726300922892800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1113715921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 795381 + ... + 796779.

It is an arithmetic number, because the mean of its divisors is an integer number (22498560).

Almost surely, 21113715920 is an apocalyptic number.

1113715920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1113715920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799884800).

1113715920 is an abundant number, since it is smaller than the sum of its proper divisors (2486053680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1113715920 is a wasteful number, since it uses less digits than its factorization.

1113715920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 30.

The square root of 1113715920 is about 33372.3825939953. The cubic root of 1113715920 is about 1036.5529116790.

The spelling of 1113715920 in words is "one billion, one hundred thirteen million, seven hundred fifteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 107 120 124 155 186 214 240 248 310 321 372 428 465 496 535 620 642 744 856 930 1070 1240 1284 1399 1488 1605 1712 1860 2140 2480 2568 2798 3210 3317 3720 4197 4280 5136 5596 6420 6634 6995 7440 8394 8560 9951 11192 12840 13268 13990 16585 16788 19902 20985 22384 25680 26536 27980 33170 33576 39804 41970 43369 49755 53072 55960 66340 67152 79608 83940 86738 99510 111920 130107 132680 149693 159216 167880 173476 199020 216845 260214 265360 299386 335760 346952 398040 433690 449079 520428 598772 650535 693904 748465 796080 867380 898158 1040856 1197544 1301070 1496930 1734760 1796316 2081712 2245395 2395088 2602140 2993860 3469520 3592632 4490790 4640483 5204280 5987720 7185264 8981580 9280966 10408560 11975440 13921449 17963160 18561932 23202415 27842898 35926320 37123864 46404830 55685796 69607245 74247728 92809660 111371592 139214490 185619320 222743184 278428980 371238640 556857960 1113715920