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77247140 = 22573157337
BaseRepresentation
bin1001001101010…
…11001010100100
312101100120011012
410212223022210
5124233402030
611355401352
71625406215
oct446531244
9171316135
1077247140
113a670a13
1221a53258
1313008389
14a38b40c
156bad095
hex49ab2a4

77247140 has 48 divisors (see below), whose sum is σ = 165979632. Its totient is φ = 30191616.

The previous prime is 77247127. The next prime is 77247143. The reversal of 77247140 is 4174277.

It can be written as a sum of positive squares in 8 ways, for example, as 5234944 + 72012196 = 2288^2 + 8486^2 .

It is a junction number, because it is equal to n+sod(n) for n = 77247097 and 77247106.

It is not an unprimeable number, because it can be changed into a prime (77247143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229052 + ... + 229388.

It is an arithmetic number, because the mean of its divisors is an integer number (3457909).

Almost surely, 277247140 is an apocalyptic number.

It is an amenable number.

77247140 is an abundant number, since it is smaller than the sum of its proper divisors (88732492).

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

77247140 is a wasteful number, since it uses less digits than its factorization.

77247140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 32.

The square root of 77247140 is about 8789.0352144021. The cubic root of 77247140 is about 425.8867575006.

The spelling of 77247140 in words is "seventy-seven million, two hundred forty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 73 146 157 292 314 337 365 628 674 730 785 1348 1460 1570 1685 3140 3370 6740 11461 22922 24601 45844 49202 52909 57305 98404 105818 114610 123005 211636 229220 246010 264545 492020 529090 1058180 3862357 7724714 15449428 19311785 38623570 77247140