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107463328 = 2572971233
BaseRepresentation
bin1100110011111…
…00001010100000
321111012200222021
412121330022200
5210002311303
614355151224
72443265110
oct631741240
9244180867
10107463328
1155729875
122bba5514
131935788b
14103b5040
15967aebd
hex667c2a0

107463328 has 96 divisors (see below), whose sum is σ = 254741760. Its totient is φ = 43653120.

The previous prime is 107463311. The next prime is 107463347. The reversal of 107463328 is 823364701.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 107463293 and 107463302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 461100 + ... + 461332.

It is an arithmetic number, because the mean of its divisors is an integer number (2653560).

Almost surely, 2107463328 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 107463328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127370880).

107463328 is an abundant number, since it is smaller than the sum of its proper divisors (147278432).

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

107463328 is a wasteful number, since it uses less digits than its factorization.

107463328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 107463328 is about 10366.4520449380. The cubic root of 107463328 is about 475.4301964131.

The spelling of 107463328 in words is "one hundred seven million, four hundred sixty-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 71 112 116 142 203 224 232 233 284 406 464 466 497 568 812 928 932 994 1136 1624 1631 1864 1988 2059 2272 3248 3262 3728 3976 4118 6496 6524 6757 7456 7952 8236 13048 13514 14413 15904 16472 16543 26096 27028 28826 32944 33086 47299 52192 54056 57652 65888 66172 94598 108112 115304 115801 132344 189196 216224 230608 231602 264688 378392 461216 463204 479747 529376 756784 926408 959494 1513568 1852816 1918988 3358229 3705632 3837976 6716458 7675952 13432916 15351904 26865832 53731664 107463328