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76242060 = 22345192477
BaseRepresentation
bin1001000101101…
…01110010001100
312022110111110000
410202311302030
5124004221220
611322044300
71614022026
oct442656214
9168414400
1076242060
113a044874
1221649690
1312a45a5b
14a1a9016
156a60390
hex48b5c8c

76242060 has 120 divisors (see below), whose sum is σ = 251863920. Its totient is φ = 19253376.

The previous prime is 76241969. The next prime is 76242077. The reversal of 76242060 is 6024267.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29542 + ... + 32018.

It is an arithmetic number, because the mean of its divisors is an integer number (2098866).

Almost surely, 276242060 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 76242060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125931960).

76242060 is an abundant number, since it is smaller than the sum of its proper divisors (175621860).

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

76242060 is a wasteful number, since it uses less digits than its factorization.

76242060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2517 (or 2506 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 76242060 is about 8731.6699433728. The cubic root of 76242060 is about 424.0315851041.

The spelling of 76242060 in words is "seventy-six million, two hundred forty-two thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 81 90 95 108 114 135 162 171 180 190 228 270 285 324 342 380 405 513 540 570 684 810 855 1026 1140 1539 1620 1710 2052 2477 2565 3078 3420 4954 5130 6156 7431 7695 9908 10260 12385 14862 15390 22293 24770 29724 30780 37155 44586 47063 49540 66879 74310 89172 94126 111465 133758 141189 148620 188252 200637 222930 235315 267516 282378 334395 401274 423567 445860 470630 564756 668790 705945 802548 847134 941260 1003185 1270701 1337580 1411890 1694268 2006370 2117835 2541402 2823780 3812103 4012740 4235670 5082804 6353505 7624206 8471340 12707010 15248412 19060515 25414020 38121030 76242060