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136978296 = 233713193301
BaseRepresentation
bin10000010101000…
…01111101111000
3100112202012220020
420022201331320
5240031301141
621331530440
73252203430
oct1012417570
9315665806
10136978296
1170358904
1239a59a20
13224bcb60
14142992c0
15c05b266
hex82a1f78

136978296 has 128 divisors (see below), whose sum is σ = 443788800. Its totient is φ = 34214400.

The previous prime is 136978207. The next prime is 136978301. The reversal of 136978296 is 692879631.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39846 + ... + 43146.

It is an arithmetic number, because the mean of its divisors is an integer number (3467100).

Almost surely, 2136978296 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 136978296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221894400).

136978296 is an abundant number, since it is smaller than the sum of its proper divisors (306810504).

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

136978296 is a wasteful number, since it uses less digits than its factorization.

136978296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3349 (or 3345 counting only the distinct ones).

The product of its digits is 979776, while the sum is 51.

The square root of 136978296 is about 11703.7727250661. The cubic root of 136978296 is about 515.4864489742.

The spelling of 136978296 in words is "one hundred thirty-six million, nine hundred seventy-eight thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 19 21 24 26 28 38 39 42 52 56 57 76 78 84 91 104 114 133 152 156 168 182 228 247 266 273 312 364 399 456 494 532 546 728 741 798 988 1064 1092 1482 1596 1729 1976 2184 2964 3192 3301 3458 5187 5928 6602 6916 9903 10374 13204 13832 19806 20748 23107 26408 39612 41496 42913 46214 62719 69321 79224 85826 92428 125438 128739 138642 171652 184856 188157 250876 257478 277284 300391 343304 376314 439033 501752 514956 554568 600782 752628 815347 878066 901173 1029912 1201564 1317099 1505256 1630694 1756132 1802346 2403128 2446041 2634198 3261388 3512264 3604692 4892082 5268396 5707429 6522776 7209384 9784164 10536792 11414858 17122287 19568328 22829716 34244574 45659432 68489148 136978296