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113451520 = 295713487
BaseRepresentation
bin1101100001100…
…10001000000000
321220110221020011
412300302020000
5213020422040
615131354304
72545215310
oct660621000
9256427204
10113451520
1159049896
1231bb2994
131a6733a0
14110d3440
159e603ea
hex6c32200

113451520 has 160 divisors (see below), whose sum is σ = 335478528. Its totient is φ = 35831808.

The previous prime is 113451493. The next prime is 113451581. The reversal of 113451520 is 25154311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 113451491 and 113451500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232717 + ... + 233203.

Almost surely, 2113451520 is an apocalyptic number.

113451520 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 113451520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167739264).

113451520 is an abundant number, since it is smaller than the sum of its proper divisors (222027008).

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

113451520 is an equidigital number, since it uses as much as digits as its factorization.

113451520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 113451520 is about 10651.3623541780. The cubic root of 113451520 is about 484.1018841590.

The spelling of 113451520 in words is "one hundred thirteen million, four hundred fifty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 128 130 140 160 182 208 224 256 260 280 320 364 416 448 455 487 512 520 560 640 728 832 896 910 974 1040 1120 1280 1456 1664 1792 1820 1948 2080 2240 2435 2560 2912 3328 3409 3584 3640 3896 4160 4480 4870 5824 6331 6656 6818 7280 7792 8320 8960 9740 11648 12662 13636 14560 15584 16640 17045 17920 19480 23296 25324 27272 29120 31168 31655 33280 34090 38960 44317 46592 50648 54544 58240 62336 63310 68180 77920 88634 101296 109088 116480 124672 126620 136360 155840 177268 202592 218176 221585 232960 249344 253240 272720 311680 354536 405184 436352 443170 506480 545440 623360 709072 810368 872704 886340 1012960 1090880 1246720 1418144 1620736 1745408 1772680 2025920 2181760 2836288 3241472 3545360 4051840 4363520 5672576 7090720 8103680 8727040 11345152 14181440 16207360 22690304 28362880 56725760 113451520