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77115132 = 2233714029
BaseRepresentation
bin1001001100010…
…10111011111100
312101002212002000
410212022323330
5124220141012
611352502300
71624316313
oct446127374
9171085060
1077115132
113a590816
12219aa990
1312c90273
14a35527a
156b83ddc
hex498aefc

77115132 has 24 divisors (see below), whose sum is σ = 199928400. Its totient is φ = 25705008.

The previous prime is 77115127. The next prime is 77115133. The reversal of 77115132 is 23151177.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 77115096 and 77115105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77115133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 356907 + ... + 357122.

It is an arithmetic number, because the mean of its divisors is an integer number (8330350).

Almost surely, 277115132 is an apocalyptic number.

It is an amenable number.

77115132 is an abundant number, since it is smaller than the sum of its proper divisors (122813268).

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

77115132 is a wasteful number, since it uses less digits than its factorization.

77115132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714042 (or 714034 counting only the distinct ones).

The product of its digits is 1470, while the sum is 27.

The square root of 77115132 is about 8781.5221915110. The cubic root of 77115132 is about 425.6440192165.

The spelling of 77115132 in words is "seventy-seven million, one hundred fifteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 714029 1428058 2142087 2856116 4284174 6426261 8568348 12852522 19278783 25705044 38557566 77115132