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76680054 = 23311167773
BaseRepresentation
bin1001001001000…
…00101101110110
312100021202021000
410210200231312
5124112230204
611335304130
71620525003
oct444405566
9170252230
1076680054
113a313950
122181b046
1312b6a219
14a2808aa
156aea039
hex4920b76

76680054 has 64 divisors (see below), whose sum is σ = 187246080. Its totient is φ = 23067360.

The previous prime is 76680053. The next prime is 76680059. The reversal of 76680054 is 45008667.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76680053) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98812 + ... + 99584.

It is an arithmetic number, because the mean of its divisors is an integer number (2925720).

Almost surely, 276680054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76680054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93623040).

76680054 is an abundant number, since it is smaller than the sum of its proper divisors (110566026).

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

76680054 is a wasteful number, since it uses less digits than its factorization.

76680054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 76680054 is about 8756.7147949445. The cubic root of 76680054 is about 424.8420247932.

The spelling of 76680054 in words is "seventy-six million, six hundred eighty thousand, fifty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 167 198 297 334 501 594 773 1002 1503 1546 1837 2319 3006 3674 4509 4638 5511 6957 8503 9018 11022 13914 16533 17006 20871 25509 33066 41742 49599 51018 76527 99198 129091 153054 229581 258182 387273 459162 774546 1161819 1420001 2323638 2840002 3485457 4260003 6970914 8520006 12780009 25560018 38340027 76680054