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113377488 = 24371723863
BaseRepresentation
bin1101100001000…
…00000011010000
321220100011200020
412300200003100
5213011034423
615130023440
72544456420
oct660400320
9256304606
10113377488
1158aa9204
1231b77b80
131a648793
14110b4480
159e484e3
hex6c200d0

113377488 has 160 divisors (see below), whose sum is σ = 370262016. Its totient is φ = 29128704.

The previous prime is 113377483. The next prime is 113377493. The reversal of 113377488 is 884773311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (113377483) and next prime (113377493).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113377483) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130945 + ... + 131807.

Almost surely, 2113377488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113377488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185131008).

113377488 is an abundant number, since it is smaller than the sum of its proper divisors (256884528).

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

113377488 is a wasteful number, since it uses less digits than its factorization.

113377488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 915 counting only the distinct ones).

The product of its digits is 112896, while the sum is 42.

The square root of 113377488 is about 10647.8865508607. The cubic root of 113377488 is about 483.9965621412.

The spelling of 113377488 in words is "one hundred thirteen million, three hundred seventy-seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 23 24 28 34 42 46 48 51 56 68 69 84 92 102 112 119 136 138 161 168 184 204 238 272 276 322 336 357 368 391 408 476 483 552 644 714 782 816 863 952 966 1104 1173 1288 1428 1564 1726 1904 1932 2346 2576 2589 2737 2856 3128 3452 3864 4692 5178 5474 5712 6041 6256 6904 7728 8211 9384 10356 10948 12082 13808 14671 16422 18123 18768 19849 20712 21896 24164 29342 32844 36246 39698 41424 43792 44013 48328 58684 59547 65688 72492 79396 88026 96656 102697 117368 119094 131376 138943 144984 158792 176052 205394 234736 238188 277886 289968 308091 317584 337433 352104 410788 416829 476376 555772 616182 674866 704208 821576 833658 952752 1012299 1111544 1232364 1349732 1643152 1667316 2024598 2223088 2362031 2464728 2699464 3334632 4049196 4724062 4929456 5398928 6669264 7086093 8098392 9448124 14172186 16196784 18896248 28344372 37792496 56688744 113377488