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56090340 = 22335241431
BaseRepresentation
bin1101010111110…
…1111011100100
310220112200111000
43111331323210
5103324342330
65322113300
71250521455
oct325757344
9126480430
1056090340
1129730559
121694b830
13b80b567
14764112c
154dce560
hex357dee4

56090340 has 96 divisors (see below), whose sum is σ = 175633920. Its totient is φ = 14860800.

The previous prime is 56090311. The next prime is 56090351. The reversal of 56090340 is 4309065.

It is a happy number.

It is a super-2 number, since 2×560903402 = 6292252482631200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129925 + ... + 130355.

It is an arithmetic number, because the mean of its divisors is an integer number (1829520).

Almost surely, 256090340 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 56090340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87816960).

56090340 is an abundant number, since it is smaller than the sum of its proper divisors (119543580).

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

56090340 is a wasteful number, since it uses less digits than its factorization.

56090340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 56090340 is about 7489.3484362794. The cubic root of 56090340 is about 382.7918572181.

The spelling of 56090340 in words is "fifty-six million, ninety thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 241 270 431 482 540 723 862 964 1205 1293 1446 1724 2155 2169 2410 2586 2892 3615 3879 4310 4338 4820 5172 6465 6507 7230 7758 8620 8676 10845 11637 12930 13014 14460 15516 19395 21690 23274 25860 26028 32535 38790 43380 46548 58185 65070 77580 103871 116370 130140 207742 232740 311613 415484 519355 623226 934839 1038710 1246452 1558065 1869678 2077420 2804517 3116130 3739356 4674195 5609034 6232260 9348390 11218068 14022585 18696780 28045170 56090340