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57099780 = 223251492129
BaseRepresentation
bin1101100111010…
…0011000000100
310222102222011200
43121310120010
5104104143110
65355502500
71262224443
oct331643004
9128388150
1057099780
112a25aa01
1217157a30
13baa2b6a
147824d5a
15502d6c0
hex3674604

57099780 has 72 divisors (see below), whose sum is σ = 174447000. Its totient is φ = 15117312.

The previous prime is 57099773. The next prime is 57099781. The reversal of 57099780 is 8799075.

57099780 is a `hidden beast` number, since 570 + 9 + 9 + 78 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36864 + 57062916 = 192^2 + 7554^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (57099781) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 25756 + ... + 27884.

It is an arithmetic number, because the mean of its divisors is an integer number (2422875).

Almost surely, 257099780 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 57099780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87223500).

57099780 is an abundant number, since it is smaller than the sum of its proper divisors (117347220).

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

57099780 is a wasteful number, since it uses less digits than its factorization.

57099780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2293 (or 2288 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The square root of 57099780 is about 7556.4396378189. The cubic root of 57099780 is about 385.0745456371.

The spelling of 57099780 in words is "fifty-seven million, ninety-nine thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 149 180 298 447 596 745 894 1341 1490 1788 2129 2235 2682 2980 4258 4470 5364 6387 6705 8516 8940 10645 12774 13410 19161 21290 25548 26820 31935 38322 42580 63870 76644 95805 127740 191610 317221 383220 634442 951663 1268884 1586105 1903326 2854989 3172210 3806652 4758315 5709978 6344420 9516630 11419956 14274945 19033260 28549890 57099780