Search a number
-
+
136143920 = 24511712179
BaseRepresentation
bin10000001110101…
…10010000110000
3100111011211100102
420013112100300
5234323101140
621302011532
73242130023
oct1007262060
9314154312
10136143920
116a938a40
1239716ba8
132228a143
141411d1ba
15be43e15
hex81d6430

136143920 has 80 divisors (see below), whose sum is σ = 350334720. Its totient is φ = 48787200.

The previous prime is 136143901. The next prime is 136143947. The reversal of 136143920 is 29341631.

It is a tau number, because it is divible by the number of its divisors (80).

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, 61391 + ... + 63569.

It is an arithmetic number, because the mean of its divisors is an integer number (4379184).

Almost surely, 2136143920 is an apocalyptic number.

136143920 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 136143920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175167360).

136143920 is an abundant number, since it is smaller than the sum of its proper divisors (214190800).

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

136143920 is a wasteful number, since it uses less digits than its factorization.

136143920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2274 (or 2268 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 136143920 is about 11668.0726771820. The cubic root of 136143920 is about 514.4376555761.

The spelling of 136143920 in words is "one hundred thirty-six million, one hundred forty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 71 80 88 110 142 176 220 284 355 440 568 710 781 880 1136 1420 1562 2179 2840 3124 3905 4358 5680 6248 7810 8716 10895 12496 15620 17432 21790 23969 31240 34864 43580 47938 62480 87160 95876 119845 154709 174320 191752 239690 309418 383504 479380 618836 773545 958760 1237672 1547090 1701799 1917520 2475344 3094180 3403598 6188360 6807196 8508995 12376720 13614392 17017990 27228784 34035980 68071960 136143920