Search a number
-
+
136442952 = 233217195867
BaseRepresentation
bin10000010000111…
…11010001001000
3100111202000112200
420020133101020
5234412133302
621312240200
73244513602
oct1010372110
9314660480
10136442952
1170022678
1239840060
1322363299
141419a172
15bea281c
hex821f448

136442952 has 96 divisors (see below), whose sum is σ = 411933600. Its totient is φ = 40545792.

The previous prime is 136442947. The next prime is 136442981. The reversal of 136442952 is 259244631.

It is a happy number.

136442952 is a `hidden beast` number, since 1 + 3 + 644 + 2 + 9 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20323 + ... + 26189.

It is an arithmetic number, because the mean of its divisors is an integer number (4290975).

Almost surely, 2136442952 is an apocalyptic number.

136442952 is a gapful number since it is divisible by the number (12) 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 136442952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205966800).

136442952 is an abundant number, since it is smaller than the sum of its proper divisors (275490648).

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

136442952 is a wasteful number, since it uses less digits than its factorization.

136442952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5915 (or 5908 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 136442952 is about 11680.8797613878. The cubic root of 136442952 is about 514.8140240292.

The spelling of 136442952 in words is "one hundred thirty-six million, four hundred forty-two thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 19 24 34 36 38 51 57 68 72 76 102 114 136 152 153 171 204 228 306 323 342 408 456 612 646 684 969 1224 1292 1368 1938 2584 2907 3876 5814 5867 7752 11628 11734 17601 23256 23468 35202 46936 52803 70404 99739 105606 111473 140808 199478 211212 222946 299217 334419 398956 422424 445892 598434 668838 797912 891784 897651 1003257 1196868 1337676 1795302 1895041 2006514 2393736 2675352 3590604 3790082 4013028 5685123 7181208 7580164 8026056 11370246 15160328 17055369 22740492 34110738 45480984 68221476 136442952