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136484304 = 24311733541
BaseRepresentation
bin10000010001010…
…01010111010000
3100111211010021020
420020221113100
5234414444204
621313155440
73245045265
oct1010512720
9314733236
10136484304
1170050750
123985bb80
1322379058
14141ab26c
15beaebd9
hex82295d0

136484304 has 80 divisors (see below), whose sum is σ = 390016704. Its totient is φ = 40780800.

The previous prime is 136484303. The next prime is 136484329. The reversal of 136484304 is 403484631.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136484303) 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, 36774 + ... + 40314.

Almost surely, 2136484304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136484304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195008352).

136484304 is an abundant number, since it is smaller than the sum of its proper divisors (253532400).

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

136484304 is a wasteful number, since it uses less digits than its factorization.

136484304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3636 (or 3630 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 136484304 is about 11682.6496994475. The cubic root of 136484304 is about 514.8660272997.

The spelling of 136484304 in words is "one hundred thirty-six million, four hundred eighty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 73 88 132 146 176 219 264 292 438 528 584 803 876 1168 1606 1752 2409 3212 3504 3541 4818 6424 7082 9636 10623 12848 14164 19272 21246 28328 38544 38951 42492 56656 77902 84984 116853 155804 169968 233706 258493 311608 467412 516986 623216 775479 934824 1033972 1550958 1869648 2067944 2843423 3101916 4135888 5686846 6203832 8530269 11373692 12407664 17060538 22747384 34121076 45494768 68242152 136484304