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655243136 = 27231311699
BaseRepresentation
bin100111000011100…
…011011110000000
31200122221210121022
4213003203132000
52320220240021
6145004045012
722144321562
oct4703433600
91618853538
10655243136
1130695a959
12163533768
13a599b642
1463047332
153c7d11ab
hex270e3780

655243136 has 64 divisors (see below), whose sum is σ = 1373328000. Its totient is φ = 310801920.

The previous prime is 655243133. The next prime is 655243153. The reversal of 655243136 is 631342556.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×6552431362 = 858687134550228992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 655243096 and 655243105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (655243133) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 384815 + ... + 386513.

It is an arithmetic number, because the mean of its divisors is an integer number (21458250).

Almost surely, 2655243136 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 655243136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686664000).

655243136 is an abundant number, since it is smaller than the sum of its proper divisors (718084864).

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

655243136 is a wasteful number, since it uses less digits than its factorization.

655243136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1867 (or 1855 counting only the distinct ones).

The product of its digits is 64800, while the sum is 35.

The square root of 655243136 is about 25597.7173982369. The cubic root of 655243136 is about 868.5620037561.

The spelling of 655243136 in words is "six hundred fifty-five million, two hundred forty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 131 184 262 368 524 736 1048 1472 1699 2096 2944 3013 3398 4192 6026 6796 8384 12052 13592 16768 24104 27184 39077 48208 54368 78154 96416 108736 156308 192832 217472 222569 312616 385664 445138 625232 890276 1250464 1780552 2500928 3561104 5001856 5119087 7122208 10238174 14244416 20476348 28488832 40952696 81905392 163810784 327621568 655243136