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76099968 = 273279437
BaseRepresentation
bin1001000100100…
…11000110000000
312022012021112100
410202103012000
5123440144333
611315030400
71612560540
oct442230600
9168167470
1076099968
1139a5803a
122159b400
13129c6189
14a16d320
156a33213
hex4893180

76099968 has 96 divisors (see below), whose sum is σ = 250295760. Its totient is φ = 21740544.

The previous prime is 76099957. The next prime is 76100027. The reversal of 76099968 is 86999067.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3346 + ... + 12782.

Almost surely, 276099968 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 76099968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125147880).

76099968 is an abundant number, since it is smaller than the sum of its proper divisors (174195792).

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

76099968 is a wasteful number, since it uses less digits than its factorization.

76099968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9464 (or 9449 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The square root of 76099968 is about 8723.5295609060. The cubic root of 76099968 is about 423.7679993399.

The spelling of 76099968 in words is "seventy-six million, ninety-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 9437 18874 28311 37748 56622 66059 75496 84933 113244 132118 150992 169866 198177 226488 264236 301984 339732 396354 452976 528472 594531 603968 679464 792708 905952 1056944 1189062 1207936 1358928 1585416 1811904 2113888 2378124 2717856 3170832 3623808 4227776 4756248 5435712 6341664 8455552 9512496 10871424 12683328 19024992 25366656 38049984 76099968