Search a number
-
+
57034080 = 2532539607
BaseRepresentation
bin1101100110010…
…0010101100000
310222022122001100
43121210111200
5104100042310
65354234400
71261532055
oct331442540
9128278040
1057034080
112a215604
1217125a00
13ba7bc9c
14780902c
155018ec0
hex3664560

57034080 has 72 divisors (see below), whose sum is σ = 194633712. Its totient is φ = 15208704.

The previous prime is 57034073. The next prime is 57034091. The reversal of 57034080 is 8043075.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 18364 + ... + 21243.

It is an arithmetic number, because the mean of its divisors is an integer number (2703246).

Almost surely, 257034080 is an apocalyptic number.

It is an amenable number.

57034080 is an abundant number, since it is smaller than the sum of its proper divisors (137599632).

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

57034080 is a wasteful number, since it uses less digits than its factorization.

57034080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39628 (or 39617 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 57034080 is about 7552.0911011454. The cubic root of 57034080 is about 384.9267977990.

The spelling of 57034080 in words is "fifty-seven million, thirty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 39607 79214 118821 158428 198035 237642 316856 356463 396070 475284 594105 633712 712926 792140 950568 1188210 1267424 1425852 1584280 1782315 1901136 2376420 2851704 3168560 3564630 3802272 4752840 5703408 6337120 7129260 9505680 11406816 14258520 19011360 28517040 57034080