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56060480 = 265729863
BaseRepresentation
bin1101010111011…
…0101001000000
310220111011112002
43111312221000
5103322413410
65321323132
71250335430
oct325665100
9126434462
1056060480
1129710083
12169364a8
13b7caaa8
1476342c0
154dc57a5
hex3576a40

56060480 has 112 divisors (see below), whose sum is σ = 158008320. Its totient is φ = 18536448.

The previous prime is 56060479. The next prime is 56060483. The reversal of 56060480 is 8406065.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (56060483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64529 + ... + 65391.

Almost surely, 256060480 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 56060480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79004160).

56060480 is an abundant number, since it is smaller than the sum of its proper divisors (101947840).

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

56060480 is a wasteful number, since it uses less digits than its factorization.

56060480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 56060480 is about 7487.3546730471. The cubic root of 56060480 is about 382.7239180462.

The spelling of 56060480 in words is "fifty-six million, sixty thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 32 35 40 56 58 64 70 80 112 116 140 145 160 203 224 232 280 290 320 406 448 464 560 580 812 863 928 1015 1120 1160 1624 1726 1856 2030 2240 2320 3248 3452 4060 4315 4640 6041 6496 6904 8120 8630 9280 12082 12992 13808 16240 17260 24164 25027 27616 30205 32480 34520 48328 50054 55232 60410 64960 69040 96656 100108 120820 125135 138080 175189 193312 200216 241640 250270 276160 350378 386624 400432 483280 500540 700756 800864 875945 966560 1001080 1401512 1601728 1751890 1933120 2002160 2803024 3503780 4004320 5606048 7007560 8008640 11212096 14015120 28030240 56060480