Search a number
-
+
56360960 = 218543
BaseRepresentation
bin1101011100000…
…0000000000000
310221001102200222
43113000000000
5103412022320
65332002212
71253026445
oct327000000
9127042628
1056360960
11298a5907
1216a60368
13b8a47a6
1476b19cc
154e34825
hex35c0000

56360960 has 76 divisors (see below), whose sum is σ = 138411768. Its totient is φ = 22020096.

The previous prime is 56360911. The next prime is 56360963. The reversal of 56360960 is 6906365.

It is a self number, because there is not a number n which added to its sum of digits gives 56360960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56360963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1310699 + ... + 1310741.

Almost surely, 256360960 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 56360960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69205884).

56360960 is an abundant number, since it is smaller than the sum of its proper divisors (82050808).

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

56360960 is an frugal number, since it uses more digits than its factorization.

56360960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 35.

The square root of 56360960 is about 7507.3936888910. The cubic root of 56360960 is about 383.4064905533.

The spelling of 56360960 in words is "fifty-six million, three hundred sixty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 128 160 172 215 256 320 344 430 512 640 688 860 1024 1280 1376 1720 2048 2560 2752 3440 4096 5120 5504 6880 8192 10240 11008 13760 16384 20480 22016 27520 32768 40960 44032 55040 65536 81920 88064 110080 131072 163840 176128 220160 262144 327680 352256 440320 655360 704512 880640 1310720 1409024 1761280 2818048 3522560 5636096 7045120 11272192 14090240 28180480 56360960