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136771936 = 257317733
BaseRepresentation
bin10000010011011…
…11100101100000
3100112100201211021
420021233211200
5240003200221
621323255224
73250354000
oct1011574540
9315321737
10136771936
1170227864
123997a514
1322449c52
1414244000
15c01a041
hex826f960

136771936 has 96 divisors (see below), whose sum is σ = 332942400. Its totient is φ = 55093248.

The previous prime is 136771933. The next prime is 136771951. The reversal of 136771936 is 639177631.

It is a junction number, because it is equal to n+sod(n) for n = 136771892 and 136771901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136771933) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186226 + ... + 186958.

It is an arithmetic number, because the mean of its divisors is an integer number (3468150).

Almost surely, 2136771936 is an apocalyptic number.

136771936 is a gapful number since it is divisible by the number (16) 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 136771936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166471200).

136771936 is an abundant number, since it is smaller than the sum of its proper divisors (196170464).

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

136771936 is an equidigital number, since it uses as much as digits as its factorization.

136771936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 759 counting only the distinct ones).

The product of its digits is 142884, while the sum is 43.

The square root of 136771936 is about 11694.9534415491. The cubic root of 136771936 is about 515.2274560037.

The spelling of 136771936 in words is "one hundred thirty-six million, seven hundred seventy-one thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 68 98 112 119 136 196 224 238 272 343 392 476 544 686 733 784 833 952 1372 1466 1568 1666 1904 2744 2932 3332 3808 5131 5488 5831 5864 6664 10262 10976 11662 11728 12461 13328 20524 23324 23456 24922 26656 35917 41048 46648 49844 71834 82096 87227 93296 99688 143668 164192 174454 186592 199376 251419 287336 348908 398752 502838 574672 610589 697816 1005676 1149344 1221178 1395632 2011352 2442356 2791264 4022704 4274123 4884712 8045408 8548246 9769424 17096492 19538848 34192984 68385968 136771936