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136990720 = 21256689
BaseRepresentation
bin10000010101001…
…01000000000000
3100112202211221101
420022211000000
5240032200340
621332104144
73252254566
oct1012450000
9315684841
10136990720
1170367179
1239a65054
13224c56c9
141429da36
15c05ec9a
hex82a5000

136990720 has 52 divisors (see below), whose sum is σ = 328786740. Its totient is φ = 54788096.

The previous prime is 136990681. The next prime is 136990723. The reversal of 136990720 is 27099631.

It can be written as a sum of positive squares in 2 ways, for example, as 83759104 + 53231616 = 9152^2 + 7296^2 .

It is a super-2 number, since 2×1369907202 = 37532914732236800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 136990720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136990723) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17136 + ... + 23824.

Almost surely, 2136990720 is an apocalyptic number.

136990720 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 136990720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164393370).

136990720 is an abundant number, since it is smaller than the sum of its proper divisors (191796020).

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

136990720 is an frugal number, since it uses more digits than its factorization.

136990720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6718 (or 6696 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 37.

The square root of 136990720 is about 11704.3034820531. The cubic root of 136990720 is about 515.5020334626.

The spelling of 136990720 in words is "one hundred thirty-six million, nine hundred ninety thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 4096 5120 6689 10240 13378 20480 26756 33445 53512 66890 107024 133780 214048 267560 428096 535120 856192 1070240 1712384 2140480 3424768 4280960 6849536 8561920 13699072 17123840 27398144 34247680 68495360 136990720