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113906052 = 22321317103139
BaseRepresentation
bin1101100101000…
…01000110000100
321221100000201200
412302201012010
5213124443202
615145222500
72552120421
oct662410604
9257300650
10113906052
115932a337
1232191a30
131a7a2240
14111b0d48
159eeee1c
hex6ca1184

113906052 has 144 divisors (see below), whose sum is σ = 333889920. Its totient is φ = 32431104.

The previous prime is 113905993. The next prime is 113906053. The reversal of 113906052 is 250609311.

It is not an unprimeable number, because it can be changed into a prime (113906053) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 819399 + ... + 819537.

It is an arithmetic number, because the mean of its divisors is an integer number (2318680).

Almost surely, 2113906052 is an apocalyptic number.

113906052 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 113906052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166944960).

113906052 is an abundant number, since it is smaller than the sum of its proper divisors (219983868).

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

113906052 is a wasteful number, since it uses less digits than its factorization.

113906052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 113906052 is about 10672.6778270498. The cubic root of 113906052 is about 484.7475243826.

The spelling of 113906052 in words is "one hundred thirteen million, nine hundred six thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 103 117 139 153 156 204 206 221 234 278 306 309 412 417 442 468 556 612 618 663 834 884 927 1236 1251 1326 1339 1668 1751 1807 1854 1989 2363 2502 2652 2678 3502 3614 3708 3978 4017 4726 5004 5253 5356 5421 7004 7089 7228 7956 8034 9452 10506 10842 12051 14178 14317 15759 16068 16263 21012 21267 21684 22763 24102 28356 28634 30719 31518 32526 42534 42951 45526 48204 57268 61438 63036 65052 68289 85068 85902 91052 92157 122876 128853 136578 171804 184314 186121 204867 243389 257706 273156 276471 368628 372242 409734 486778 515412 552942 558363 730167 744484 819468 973556 1105884 1116726 1460334 1675089 2190501 2233452 2920668 3164057 3350178 4381002 6328114 6700356 8762004 9492171 12656228 18984342 28476513 37968684 56953026 113906052