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73138465 = 541596047
BaseRepresentation
bin1000101110000…
…00000100100001
312002121211010001
410113000010201
5122210412330
611131340001
71545444451
oct427000441
9162554101
1073138465
1138315014
12205b1601
13121ca1ca
1499dbd61
15664a9ca
hex45c0121

73138465 has 16 divisors (see below), whose sum is σ = 91445760. Its totient is φ = 56106880.

The previous prime is 73138453. The next prime is 73138469. The reversal of 73138465 is 56483137.

73138465 is a nontrivial binomial coefficient, being equal to C(12095, 2).

It is not a de Polignac number, because 73138465 - 213 = 73130273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (73138469) 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, 9072 + ... + 15118.

It is an arithmetic number, because the mean of its divisors is an integer number (5715360).

Almost surely, 273138465 is an apocalyptic number.

73138465 is the 12094-th triangular number.

73138465 is the 4032-nd centered nonagonal number.

It is an amenable number.

73138465 is a deficient number, since it is larger than the sum of its proper divisors (18307295).

73138465 is a wasteful number, since it uses less digits than its factorization.

73138465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6152.

The product of its digits is 60480, while the sum is 37.

The square root of 73138465 is about 8552.1029577526. The cubic root of 73138465 is about 418.1979957581.

The spelling of 73138465 in words is "seventy-three million, one hundred thirty-eight thousand, four hundred sixty-five".

Divisors: 1 5 41 59 205 295 2419 6047 12095 30235 247927 356773 1239635 1783865 14627693 73138465