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56890240 = 275118081
BaseRepresentation
bin1101100100000…
…1001110000000
310222001022201221
43121001032000
5104030441430
65351204424
71260362521
oct331011600
9128038657
1056890240
112a127530
1217076714
13ba2b684
1477ac848
154edb57a
hex3641380

56890240 has 64 divisors (see below), whose sum is σ = 148385520. Its totient is φ = 20684800.

The previous prime is 56890213. The next prime is 56890243. The reversal of 56890240 is 4209865.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 56890196 and 56890205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56890243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3000 + ... + 11080.

Almost surely, 256890240 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 56890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74192760).

56890240 is an abundant number, since it is smaller than the sum of its proper divisors (91495280).

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

56890240 is a wasteful number, since it uses less digits than its factorization.

56890240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8111 (or 8099 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 56890240 is about 7542.5618989837. The cubic root of 56890240 is about 384.6029301403.

The spelling of 56890240 in words is "fifty-six million, eight hundred ninety thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 8081 16162 32324 40405 64648 80810 88891 129296 161620 177782 258592 323240 355564 444455 517184 646480 711128 888910 1034368 1292960 1422256 1777820 2585920 2844512 3555640 5171840 5689024 7111280 11378048 14222560 28445120 56890240