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136441920 = 2635311457
BaseRepresentation
bin10000010000111…
…11000001000000
3100111201222010110
420020133001000
5234412120140
621312231320
73244510566
oct1010370100
9314658113
10136441920
117002191a
123983b540
1322362984
1414199a36
15bea2380
hex821f040

136441920 has 112 divisors (see below), whose sum is σ = 435547008. Its totient is φ = 36188160.

The previous prime is 136441901. The next prime is 136441951. The reversal of 136441920 is 29144631.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 298332 + ... + 298788.

Almost surely, 2136441920 is an apocalyptic number.

136441920 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 136441920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217773504).

136441920 is an abundant number, since it is smaller than the sum of its proper divisors (299105088).

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

136441920 is a wasteful number, since it uses less digits than its factorization.

136441920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 136441920 is about 11680.8355865494. The cubic root of 136441920 is about 514.8127260767.

The spelling of 136441920 in words is "one hundred thirty-six million, four hundred forty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 311 320 457 480 622 914 933 960 1244 1371 1555 1828 1866 2285 2488 2742 3110 3656 3732 4570 4665 4976 5484 6220 6855 7312 7464 9140 9330 9952 10968 12440 13710 14624 14928 18280 18660 19904 21936 24880 27420 29248 29856 36560 37320 43872 49760 54840 59712 73120 74640 87744 99520 109680 142127 146240 149280 219360 284254 298560 426381 438720 568508 710635 852762 1137016 1421270 1705524 2131905 2274032 2842540 3411048 4263810 4548064 5685080 6822096 8527620 9096128 11370160 13644192 17055240 22740320 27288384 34110480 45480640 68220960 136441920