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56508720 = 24351731361
BaseRepresentation
bin1101011110010…
…0000100110000
310221022221101120
43113210010300
5103431234340
65335102240
71254213312
oct327440460
9127287346
1056508720
1129996924
1216b11980
13b926b18
14770d7b2
154e634d0
hex35e4130

56508720 has 80 divisors (see below), whose sum is σ = 176319072. Its totient is φ = 14970880.

The previous prime is 56508713. The next prime is 56508721. The reversal of 56508720 is 2780565.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (56508721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40840 + ... + 42200.

Almost surely, 256508720 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 56508720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88159536).

56508720 is an abundant number, since it is smaller than the sum of its proper divisors (119810352).

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

56508720 is a wasteful number, since it uses less digits than its factorization.

56508720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1550 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 56508720 is about 7517.2282125794. The cubic root of 56508720 is about 383.7412536424.

The spelling of 56508720 in words is "fifty-six million, five hundred eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 173 240 346 519 692 865 1038 1361 1384 1730 2076 2595 2722 2768 3460 4083 4152 5190 5444 6805 6920 8166 8304 10380 10888 13610 13840 16332 20415 20760 21776 27220 32664 40830 41520 54440 65328 81660 108880 163320 235453 326640 470906 706359 941812 1177265 1412718 1883624 2354530 2825436 3531795 3767248 4709060 5650872 7063590 9418120 11301744 14127180 18836240 28254360 56508720