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136964920 = 235171910601
BaseRepresentation
bin10000010100111…
…10101100111000
3100112201112112211
420022132230320
5240030334140
621331344504
73252116431
oct1012365470
9315645484
10136964920
1170349854
1239a52134
13224b6a41
1414294488
15c0572ea
hex829eb38

136964920 has 64 divisors (see below), whose sum is σ = 343504800. Its totient is φ = 48844800.

The previous prime is 136964917. The next prime is 136964929. The reversal of 136964920 is 29469631.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136964929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7620 + ... + 18220.

Almost surely, 2136964920 is an apocalyptic number.

136964920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136964920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171752400).

136964920 is an abundant number, since it is smaller than the sum of its proper divisors (206539880).

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

136964920 is a wasteful number, since it uses less digits than its factorization.

136964920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10648 (or 10644 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 40.

The square root of 136964920 is about 11703.2012714471. The cubic root of 136964920 is about 515.4696692570.

The spelling of 136964920 in words is "one hundred thirty-six million, nine hundred sixty-four thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 17 19 20 34 38 40 68 76 85 95 136 152 170 190 323 340 380 646 680 760 1292 1615 2584 3230 6460 10601 12920 21202 42404 53005 84808 106010 180217 201419 212020 360434 402838 424040 720868 805676 901085 1007095 1441736 1611352 1802170 2014190 3424123 3604340 4028380 6848246 7208680 8056760 13696492 17120615 27392984 34241230 68482460 136964920