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56783340 = 223251671889
BaseRepresentation
bin1101100010011…
…1000111101100
310221211220002200
43120213013230
5104014031330
65345021500
71256436045
oct330470754
9127756080
1056783340
112a064189
1217024890
13b9c1b13
1477818cc
154eb9a60
hex36271ec

56783340 has 72 divisors (see below), whose sum is σ = 173365920. Its totient is φ = 15043584.

The previous prime is 56783339. The next prime is 56783359. The reversal of 56783340 is 4338765.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 56783295 and 56783304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29116 + ... + 31004.

It is an arithmetic number, because the mean of its divisors is an integer number (2407860).

Almost surely, 256783340 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 56783340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86682960).

56783340 is an abundant number, since it is smaller than the sum of its proper divisors (116582580).

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

56783340 is a wasteful number, since it uses less digits than its factorization.

56783340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2071 (or 2066 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 56783340 is about 7535.4721152692. The cubic root of 56783340 is about 384.3618821619.

The spelling of 56783340 in words is "fifty-six million, seven hundred eighty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 167 180 334 501 668 835 1002 1503 1670 1889 2004 2505 3006 3340 3778 5010 5667 6012 7515 7556 9445 10020 11334 15030 17001 18890 22668 28335 30060 34002 37780 56670 68004 85005 113340 170010 315463 340020 630926 946389 1261852 1577315 1892778 2839167 3154630 3785556 4731945 5678334 6309260 9463890 11356668 14195835 18927780 28391670 56783340