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136971720 = 233251722381
BaseRepresentation
bin10000010101000…
…00010111001000
3100112201212212200
420022200113020
5240031043340
621331440200
73252145314
oct1012402710
9315655780
10136971720
1170353976
1239a56060
13224b9b72
1414296b44
15c059330
hex82a05c8

136971720 has 96 divisors (see below), whose sum is σ = 471364920. Its totient is φ = 34375680.

The previous prime is 136971697. The next prime is 136971721. The reversal of 136971720 is 27179631.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 127644804 + 9326916 = 11298^2 + 3054^2 .

It is a super-2 number, since 2×1369717202 = 37522504159516800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (136971721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5071 + ... + 17310.

Almost surely, 2136971720 is an apocalyptic number.

136971720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136971720 is an abundant number, since it is smaller than the sum of its proper divisors (334393200).

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

136971720 is a wasteful number, since it uses less digits than its factorization.

136971720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22415 (or 22408 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 136971720 is about 11703.4917866421. The cubic root of 136971720 is about 515.4781997521.

The spelling of 136971720 in words is "one hundred thirty-six million, nine hundred seventy-one thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 6120 22381 44762 67143 89524 111905 134286 179048 201429 223810 268572 335715 380477 402858 447620 537144 671430 760954 805716 895240 1007145 1141431 1342860 1521908 1611432 1902385 2014290 2282862 2685720 3043816 3424293 3804770 4028580 4565724 5707155 6848586 7609540 8057160 9131448 11414310 13697172 15219080 17121465 22828620 27394344 34242930 45657240 68485860 136971720