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136358404 = 227131033637
BaseRepresentation
bin10000010000010…
…10101000000100
3100111120201120021
420020022220010
5234401432104
621310344524
73244012240
oct1010125004
9314521507
10136358404
116aa750a6
12397bb144
1322333960
1414177420
15be87754
hex820aa04

136358404 has 48 divisors (see below), whose sum is σ = 296627968. Its totient is φ = 53405568.

The previous prime is 136358389. The next prime is 136358407. The reversal of 136358404 is 404853631.

It is a happy number.

It is a super-2 number, since 2×1363584042 = 37187228682854432, 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 136358404.

It is not an unprimeable number, because it can be changed into a prime (136358407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35674 + ... + 39310.

Almost surely, 2136358404 is an apocalyptic number.

136358404 is a gapful number since it is divisible by the number (14) 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 136358404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148313984).

136358404 is an abundant number, since it is smaller than the sum of its proper divisors (160269564).

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

136358404 is a wasteful number, since it uses less digits than its factorization.

136358404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3764 (or 3762 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 136358404 is about 11677.2601238475. The cubic root of 136358404 is about 514.7076658063.

The spelling of 136358404 in words is "one hundred thirty-six million, three hundred fifty-eight thousand, four hundred four".

Divisors: 1 2 4 7 13 14 26 28 52 91 103 182 206 364 412 721 1339 1442 2678 2884 3637 5356 7274 9373 14548 18746 25459 37492 47281 50918 94562 101836 189124 330967 374611 661934 749222 1323868 1498444 2622277 4869943 5244554 9739886 10489108 19479772 34089601 68179202 136358404