Search a number
-
+
536900560 = 24574672053
BaseRepresentation
bin100000000000000…
…111001111010000
31101102021101002221
4200000013033100
52044421304220
6125135350424
716206402520
oct4000071720
91342241087
10536900560
11256080379
1212b982414
1387304c51
145143d680
15322069aa
hex200073d0

536900560 has 80 divisors (see below), whose sum is σ = 1430372736. Its totient is φ = 183596544.

The previous prime is 536900557. The next prime is 536900591. The reversal of 536900560 is 65009635.

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

It is a super-2 number, since 2×5369005602 = 576524422656627200, which contains 22 as substring.

It is a congruent number.

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, 260494 + ... + 262546.

Almost surely, 2536900560 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 536900560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715186368).

536900560 is an abundant number, since it is smaller than the sum of its proper divisors (893472176).

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

536900560 is a wasteful number, since it uses less digits than its factorization.

536900560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2540 (or 2534 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 34.

The square root of 536900560 is about 23171.1147768078. The cubic root of 536900560 is about 812.7642993418.

The spelling of 536900560 in words is "five hundred thirty-six million, nine hundred thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 467 560 934 1868 2053 2335 3269 3736 4106 4670 6538 7472 8212 9340 10265 13076 14371 16345 16424 18680 20530 26152 28742 32690 32848 37360 41060 52304 57484 65380 71855 82120 114968 130760 143710 164240 229936 261520 287420 574840 958751 1149680 1917502 3835004 4793755 6711257 7670008 9587510 13422514 15340016 19175020 26845028 33556285 38350040 53690056 67112570 76700080 107380112 134225140 268450280 536900560