Search a number
-
+
112311520 = 25517157263
BaseRepresentation
bin1101011000110…
…11110011100000
321211100000102221
412230123303200
5212222432040
615051120424
72532426556
oct654336340
9254300387
10112311520
1158440342
1231743114
131a364529
1410cb7bd6
159cd774a
hex6b1bce0

112311520 has 96 divisors (see below), whose sum is σ = 283808448. Its totient is φ = 41852928.

The previous prime is 112311517. The next prime is 112311523. The reversal of 112311520 is 25113211.

It is an interprime number because it is at equal distance from previous prime (112311517) and next prime (112311523).

It is a super-2 number, since 2×1123115202 = 25227755049420800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 112311494 and 112311503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112311523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 426909 + ... + 427171.

It is an arithmetic number, because the mean of its divisors is an integer number (2956338).

Almost surely, 2112311520 is an apocalyptic number.

112311520 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 112311520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141904224).

112311520 is an abundant number, since it is smaller than the sum of its proper divisors (171496928).

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

112311520 is a wasteful number, since it uses less digits than its factorization.

112311520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 112311520 is about 10597.7129608232. The cubic root of 112311520 is about 482.4749483624.

Adding to 112311520 its reverse (25113211), we get a palindrome (137424731).

The spelling of 112311520 in words is "one hundred twelve million, three hundred eleven thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 157 160 170 263 272 314 340 526 544 628 680 785 1052 1256 1315 1360 1570 2104 2512 2630 2669 2720 3140 4208 4471 5024 5260 5338 6280 8416 8942 10520 10676 12560 13345 17884 21040 21352 22355 25120 26690 35768 41291 42080 42704 44710 53380 71536 82582 85408 89420 106760 143072 165164 178840 206455 213520 330328 357680 412910 427040 660656 701947 715360 825820 1321312 1403894 1651640 2807788 3303280 3509735 5615576 6606560 7019470 11231152 14038940 22462304 28077880 56155760 112311520