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76070664 = 2335109359
BaseRepresentation
bin1001000100010…
…11111100001000
312022010210100000
410202023330020
5123433230124
611314243000
71612406235
oct442137410
9168123300
1076070664
1139a3801a
1221586460
13129b5a37
14a16278c
156a296c9
hex488bf08

76070664 has 96 divisors (see below), whose sum is σ = 216216000. Its totient is φ = 25054272.

The previous prime is 76070663. The next prime is 76070677. The reversal of 76070664 is 46607067.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (76070663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211717 + ... + 212075.

It is an arithmetic number, because the mean of its divisors is an integer number (2252250).

Almost surely, 276070664 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 76070664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108108000).

76070664 is an abundant number, since it is smaller than the sum of its proper divisors (140145336).

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

76070664 is a wasteful number, since it uses less digits than its factorization.

76070664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 76070664 is about 8721.8498037974. The cubic root of 76070664 is about 423.7135985647.

The spelling of 76070664 in words is "seventy-six million, seventy thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 109 162 216 218 243 324 327 359 436 486 648 654 718 872 972 981 1077 1308 1436 1944 1962 2154 2616 2872 2943 3231 3924 4308 5886 6462 7848 8616 8829 9693 11772 12924 17658 19386 23544 25848 26487 29079 35316 38772 39131 52974 58158 70632 77544 78262 87237 105948 116316 117393 156524 174474 211896 232632 234786 313048 348948 352179 469572 697896 704358 939144 1056537 1408716 2113074 2817432 3169611 4226148 6339222 8452296 9508833 12678444 19017666 25356888 38035332 76070664