[go: up one dir, main page]

Search a number
-
+
56704080 = 24351911237
BaseRepresentation
bin1101100001001…
…1110001010000
310221200212101010
43120103301100
5104004012310
65343210520
71255656006
oct330236120
9127625333
1056704080
112a00a684
1216ba6a40
13b994a14
147760a76
154ea1320
hex3613c50

56704080 has 80 divisors (see below), whose sum is σ = 176845824. Its totient is φ = 15029760.

The previous prime is 56704051. The next prime is 56704093. The reversal of 56704080 is 8040765.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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, 45222 + ... + 46458.

Almost surely, 256704080 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 56704080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88422912).

56704080 is an abundant number, since it is smaller than the sum of its proper divisors (120141744).

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

56704080 is a wasteful number, since it uses less digits than its factorization.

56704080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 56704080 is about 7530.2111524180. The cubic root of 56704080 is about 384.1829640248.

The spelling of 56704080 in words is "fifty-six million, seven hundred four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 191 240 382 573 764 955 1146 1237 1528 1910 2292 2474 2865 3056 3711 3820 4584 4948 5730 6185 7422 7640 9168 9896 11460 12370 14844 15280 18555 19792 22920 24740 29688 37110 45840 49480 59376 74220 98960 148440 236267 296880 472534 708801 945068 1181335 1417602 1890136 2362670 2835204 3544005 3780272 4725340 5670408 7088010 9450680 11340816 14176020 18901360 28352040 56704080