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107030592 = 2633232693
BaseRepresentation
bin1100110000100…
…10100001000000
321110101201101000
412120102201000
5204344434332
614342012000
72436513354
oct630224100
9243351330
10107030592
1155463739
122ba17000
1319235916
1410301464
1595e2b7c
hex6612840

107030592 has 112 divisors (see below), whose sum is σ = 328452480. Its totient is φ = 34113024.

The previous prime is 107030587. The next prime is 107030597. The reversal of 107030592 is 295030701.

107030592 is a `hidden beast` number, since 1 + 0 + 70 + 3 + 0 + 592 = 666.

It is an interprime number because it is at equal distance from previous prime (107030587) and next prime (107030597).

It is a super-2 number, since 2×1070305922 = 22911095247740928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107030597) 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, 38398 + ... + 41090.

Almost surely, 2107030592 is an apocalyptic number.

107030592 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 107030592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164226240).

107030592 is an abundant number, since it is smaller than the sum of its proper divisors (221421888).

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

107030592 is a wasteful number, since it uses less digits than its factorization.

107030592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2737 (or 2721 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 107030592 is about 10345.5590472434. The cubic root of 107030592 is about 474.7911798645.

The spelling of 107030592 in words is "one hundred seven million, thirty thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 138 144 184 192 207 216 276 288 368 414 432 552 576 621 736 828 864 1104 1242 1472 1656 1728 2208 2484 2693 3312 4416 4968 5386 6624 8079 9936 10772 13248 16158 19872 21544 24237 32316 39744 43088 48474 61939 64632 72711 86176 96948 123878 129264 145422 172352 185817 193896 247756 258528 290844 371634 387792 495512 517056 557451 581688 743268 775584 991024 1114902 1163376 1486536 1551168 1672353 1982048 2229804 2326752 2973072 3344706 3964096 4459608 4653504 5946144 6689412 8919216 11892288 13378824 17838432 26757648 35676864 53515296 107030592