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73077136 = 24111014111
BaseRepresentation
bin1000101101100…
…01000110010000
312002111200222121
410112301012100
5122201432021
611130144024
71545100606
oct426610620
9162450877
1073077136
1138282a30
1220582014
13121a8312
1499c3876
156637741
hex45b1190

73077136 has 40 divisors (see below), whose sum is σ = 156025728. Its totient is φ = 32880000.

The previous prime is 73077131. The next prime is 73077139. The reversal of 73077136 is 63177037.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73077131) 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, 15721 + ... + 19831.

Almost surely, 273077136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73077136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78012864).

73077136 is an abundant number, since it is smaller than the sum of its proper divisors (82948592).

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

73077136 is a wasteful number, since it uses less digits than its factorization.

73077136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4231 (or 4225 counting only the distinct ones).

The product of its (nonzero) digits is 18522, while the sum is 34.

The square root of 73077136 is about 8548.5165964628. The cubic root of 73077136 is about 418.0810721620.

Subtracting from 73077136 its reverse (63177037), we obtain a palindrome (9900099).

The spelling of 73077136 in words is "seventy-three million, seventy-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 44 88 101 176 202 404 808 1111 1616 2222 4111 4444 8222 8888 16444 17776 32888 45221 65776 90442 180884 361768 415211 723536 830422 1660844 3321688 4567321 6643376 9134642 18269284 36538568 73077136