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112424352 = 25331371021
BaseRepresentation
bin1101011001101…
…11010110100000
321211112202012220
412230313112200
5212240034402
615053351040
72533406535
oct654672640
9254482186
10112424352
1158508097
1231798480
131a3a39b1
1410d06d8c
159d0adbc
hex6b375a0

112424352 has 96 divisors (see below), whose sum is σ = 313173504. Its totient is φ = 35251200.

The previous prime is 112424339. The next prime is 112424359. The reversal of 112424352 is 253424211.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (112424359) 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, 109602 + ... + 110622.

It is an arithmetic number, because the mean of its divisors is an integer number (3262224).

Almost surely, 2112424352 is an apocalyptic number.

112424352 is a gapful number since it is divisible by the number (12) 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 112424352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156586752).

112424352 is an abundant number, since it is smaller than the sum of its proper divisors (200749152).

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

112424352 is a wasteful number, since it uses less digits than its factorization.

112424352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1094 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 112424352 is about 10603.0350371957. The cubic root of 112424352 is about 482.6364645727.

Adding to 112424352 its reverse (253424211), we get a palindrome (365848563).

The spelling of 112424352 in words is "one hundred twelve million, four hundred twenty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 37 48 62 74 93 96 111 124 148 186 222 248 296 372 444 496 592 744 888 992 1021 1147 1184 1488 1776 2042 2294 2976 3063 3441 3552 4084 4588 6126 6882 8168 9176 12252 13764 16336 18352 24504 27528 31651 32672 36704 37777 49008 55056 63302 75554 94953 98016 110112 113331 126604 151108 189906 226662 253208 302216 379812 453324 506416 604432 759624 906648 1012832 1171087 1208864 1519248 1813296 2342174 3038496 3513261 3626592 4684348 7026522 9368696 14053044 18737392 28106088 37474784 56212176 112424352