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76985640 = 2334523761
BaseRepresentation
bin1001001011010…
…11010100101000
312100212021110000
410211223110220
5124202020030
611350023000
71623236634
oct445532450
9170767400
1076985640
113a5024a6
1221947a60
1312c46344
14a31ddc4
156b5a860
hex496b528

76985640 has 80 divisors (see below), whose sum is σ = 258768180. Its totient is φ = 20528640.

The previous prime is 76985603. The next prime is 76985647. The reversal of 76985640 is 4658967.

It can be written as a sum of positive squares in 2 ways, for example, as 76842756 + 142884 = 8766^2 + 378^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (76985647) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8641 + ... + 15120.

Almost surely, 276985640 is an apocalyptic number.

It is an amenable number.

76985640 is an abundant number, since it is smaller than the sum of its proper divisors (181782540).

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

76985640 is a wasteful number, since it uses less digits than its factorization.

76985640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23784 (or 23771 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 76985640 is about 8774.1461123006. The cubic root of 76985640 is about 425.4056380934.

The spelling of 76985640 in words is "seventy-six million, nine hundred eighty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 23761 47522 71283 95044 118805 142566 190088 213849 237610 285132 356415 427698 475220 570264 641547 712830 855396 950440 1069245 1283094 1425660 1710792 1924641 2138490 2566188 2851320 3207735 3849282 4276980 5132376 6415470 7698564 8553960 9623205 12830940 15397128 19246410 25661880 38492820 76985640