Search a number
-
+
136785420 = 223255231453
BaseRepresentation
bin10000010011100…
…10111000001100
3100112101102022200
420021302320030
5240004113140
621323441500
73250441212
oct1011627014
9315342280
10136785420
1170236a02
1239986290
1322453125
1414248cb2
15c01e030
hex8272e0c

136785420 has 72 divisors (see below), whose sum is σ = 415995216. Its totient is φ = 36381312.

The previous prime is 136785413. The next prime is 136785437. The reversal of 136785420 is 24587631.

It is a super-2 number, since 2×1367854202 = 37420502249152800, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93414 + ... + 94866.

Almost surely, 2136785420 is an apocalyptic number.

136785420 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 136785420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207997608).

136785420 is an abundant number, since it is smaller than the sum of its proper divisors (279209796).

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

136785420 is a wasteful number, since it uses less digits than its factorization.

136785420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1991 (or 1986 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 136785420 is about 11695.5299153138. The cubic root of 136785420 is about 515.2443871055.

The spelling of 136785420 in words is "one hundred thirty-six million, seven hundred eighty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 523 1046 1453 1569 2092 2615 2906 3138 4359 4707 5230 5812 6276 7265 7845 8718 9414 10460 13077 14530 15690 17436 18828 21795 23535 26154 29060 31380 43590 47070 52308 65385 87180 94140 130770 261540 759919 1519838 2279757 3039676 3799595 4559514 6839271 7599190 9119028 11398785 13678542 15198380 22797570 27357084 34196355 45595140 68392710 136785420