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136434420 = 223254716127
BaseRepresentation
bin10000010000111…
…01001011110100
3100111201120211200
420020131023310
5234411400140
621312132500
73244446663
oct1010351364
9314646750
10136434420
1170017221
1239837130
132235c435
1414196dda
15bea0030
hex821d2f4

136434420 has 72 divisors (see below), whose sum is σ = 422682624. Its totient is φ = 35606208.

The previous prime is 136434391. The next prime is 136434427. The reversal of 136434420 is 24434631.

136434420 is a `hidden beast` number, since 13 + 643 + 4 + 4 + 2 + 0 = 666.

It is a super-2 number, since 2×1364344202 = 37228701921472800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136434427) 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, 397 + ... + 16523.

It is an arithmetic number, because the mean of its divisors is an integer number (5870592).

Almost surely, 2136434420 is an apocalyptic number.

136434420 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 136434420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211341312).

136434420 is an abundant number, since it is smaller than the sum of its proper divisors (286248204).

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

136434420 is a wasteful number, since it uses less digits than its factorization.

136434420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16189 (or 16184 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 136434420 is about 11680.5145434608. The cubic root of 136434420 is about 514.8032930857.

The spelling of 136434420 in words is "one hundred thirty-six million, four hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 235 282 423 470 564 705 846 940 1410 1692 2115 2820 4230 8460 16127 32254 48381 64508 80635 96762 145143 161270 193524 241905 290286 322540 483810 580572 725715 757969 967620 1451430 1515938 2273907 2902860 3031876 3789845 4547814 6821721 7579690 9095628 11369535 13643442 15159380 22739070 27286884 34108605 45478140 68217210 136434420