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137030436 = 223219512
BaseRepresentation
bin10000010101011…
…10101100100100
3100112211212102100
420022232230210
5240034433221
621333012100
73252511434
oct1012565444
9315755370
10137030436
1170393aa4
1239a84030
132250a7ca
14142b02c4
15c06b926
hex82aeb24

137030436 has 27 divisors (see below), whose sum is σ = 346560123. Its totient is φ = 45653400.

The previous prime is 137030429. The next prime is 137030441. The reversal of 137030436 is 634030731.

It is a happy number.

The square root of 137030436 is 11706.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 69261 + ... + 71211.

Almost surely, 2137030436 is an apocalyptic number.

137030436 is the 11706-th square number.

It is an amenable number.

137030436 is an abundant number, since it is smaller than the sum of its proper divisors (209529687).

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

137030436 is an equidigital number, since it uses as much as digits as its factorization.

137030436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3912 (or 1956 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The cubic root of 137030436 is about 515.5518463271.

It can be divided in two parts, 1370304 and 36, that added together give a triangular number (1370340 = T1655).

The spelling of 137030436 in words is "one hundred thirty-seven million, thirty thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 1951 3902 5853 7804 11706 17559 23412 35118 70236 3806401 7612802 11419203 15225604 22838406 34257609 45676812 68515218 137030436