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137211960 = 23351143433
BaseRepresentation
bin10000010110110…
…11000000111000
3100120012002102110
420023123000320
5240111240320
621340532320
73254165604
oct1013330070
9316162373
10137211960
11704a8416
1239b510a0
1322572312
141431a504
15c0a55e0
hex82db038

137211960 has 32 divisors (see below), whose sum is σ = 411636240. Its totient is φ = 36589824.

The previous prime is 137211929. The next prime is 137211961. The reversal of 137211960 is 69112731.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137211961) 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 7 ways as a sum of consecutive naturals, for example, 571597 + ... + 571836.

Almost surely, 2137211960 is an apocalyptic number.

137211960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137211960 is an abundant number, since it is smaller than the sum of its proper divisors (274424280).

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

137211960 is a wasteful number, since it uses less digits than its factorization.

137211960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143447 (or 1143443 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 137211960 is about 11713.7508937146. The cubic root of 137211960 is about 515.7793961146.

The spelling of 137211960 in words is "one hundred thirty-seven million, two hundred eleven thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1143433 2286866 3430299 4573732 5717165 6860598 9147464 11434330 13721196 17151495 22868660 27442392 34302990 45737320 68605980 137211960