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56603340 = 22335372833
BaseRepresentation
bin1101011111101…
…1001011001100
310221111202012000
43113323023030
5103442301330
65341112300
71255056213
oct327731314
9127452160
1056603340
1129a50a22
1216b58690
13b95ac01
14773607a
154e81560
hex35fb2cc

56603340 has 96 divisors (see below), whose sum is σ = 180922560. Its totient is φ = 14681088.

The previous prime is 56603333. The next prime is 56603383. The reversal of 56603340 is 4330665.

56603340 is a `hidden beast` number, since 56 + 603 + 3 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18564 + ... + 21396.

It is an arithmetic number, because the mean of its divisors is an integer number (1884610).

Almost surely, 256603340 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 56603340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90461280).

56603340 is an abundant number, since it is smaller than the sum of its proper divisors (124319220).

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

56603340 is a wasteful number, since it uses less digits than its factorization.

56603340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2888 (or 2880 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 56603340 is about 7523.5191233890. The cubic root of 56603340 is about 383.9553170664.

The spelling of 56603340 in words is "fifty-six million, six hundred three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 37 45 54 60 74 90 108 111 135 148 180 185 222 270 333 370 444 540 555 666 740 999 1110 1332 1665 1998 2220 2833 3330 3996 4995 5666 6660 8499 9990 11332 14165 16998 19980 25497 28330 33996 42495 50994 56660 76491 84990 101988 104821 127485 152982 169980 209642 254970 305964 314463 382455 419284 509940 524105 628926 764910 943389 1048210 1257852 1529820 1572315 1886778 2096420 2830167 3144630 3773556 4716945 5660334 6289260 9433890 11320668 14150835 18867780 28301670 56603340