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56030600 = 2352416833
BaseRepresentation
bin1101010110111…
…1010110001000
310220102122112102
43111233112020
5103320434400
65320532532
71250152343
oct325572610
9126378472
1056030600
112969a68a
1216921148
13b7ba302
14762745a
154dbb9d5
hex356f588

56030600 has 48 divisors (see below), whose sum is σ = 133468020. Its totient is φ = 21862400.

The previous prime is 56030567. The next prime is 56030651. The reversal of 56030600 is 603065.

It can be written as a sum of positive squares in 6 ways, for example, as 1240996 + 54789604 = 1114^2 + 7402^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4784 + ... + 11616.

Almost surely, 256030600 is an apocalyptic number.

56030600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56030600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66734010).

56030600 is an abundant number, since it is smaller than the sum of its proper divisors (77437420).

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

56030600 is a wasteful number, since it uses less digits than its factorization.

56030600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6890 (or 6881 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 56030600 is about 7485.3590428249. The cubic root of 56030600 is about 382.6559092159.

Adding to 56030600 its reverse (603065), we get a palindrome (56633665).

The spelling of 56030600 in words is "fifty-six million, thirty thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 820 1025 1640 2050 4100 6833 8200 13666 27332 34165 54664 68330 136660 170825 273320 280153 341650 560306 683300 1120612 1366600 1400765 2241224 2801530 5603060 7003825 11206120 14007650 28015300 56030600