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73142712 = 23321015871
BaseRepresentation
bin1000101110000…
…01000110111000
312002122000221100
410113001012320
5122211031322
611131411400
71545463026
oct427010670
9162560840
1073142712
1138318225
12205b3b60
13121cc116
1499dd716
15664bdac
hex45c11b8

73142712 has 24 divisors (see below), whose sum is σ = 198095040. Its totient is φ = 24380880.

The previous prime is 73142711. The next prime is 73142731. The reversal of 73142712 is 21724137.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73142711) 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 5 ways as a sum of consecutive naturals, for example, 507864 + ... + 508007.

It is an arithmetic number, because the mean of its divisors is an integer number (8253960).

Almost surely, 273142712 is an apocalyptic number.

73142712 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

73142712 is an abundant number, since it is smaller than the sum of its proper divisors (124952328).

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

73142712 is a wasteful number, since it uses less digits than its factorization.

73142712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015883 (or 1015876 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 73142712 is about 8552.3512556489. The cubic root of 73142712 is about 418.2060902335.

Adding to 73142712 its reverse (21724137), we get a palindrome (94866849).

The spelling of 73142712 in words is "seventy-three million, one hundred forty-two thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1015871 2031742 3047613 4063484 6095226 8126968 9142839 12190452 18285678 24380904 36571356 73142712