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57722140 = 22571779307
BaseRepresentation
bin1101110000110…
…0010100011100
311000121120220001
43130030110130
5104234102030
65421104044
71300426060
oct334142434
9130546801
1057722140
112a645553
12173b8024
13bc60218
147947aa0
155102cca
hex370c51c

57722140 has 96 divisors (see below), whose sum is σ = 149022720. Its totient is φ = 18330624.

The previous prime is 57722129. The next prime is 57722143. The reversal of 57722140 is 4122775.

57722140 is a nontrivial binomial coefficient, being equal to C(10745, 2).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 57722099 and 57722108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57722143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187867 + ... + 188173.

It is an arithmetic number, because the mean of its divisors is an integer number (1552320).

Almost surely, 257722140 is an apocalyptic number.

57722140 is the 10744-th triangular number.

57722140 is the 3582-nd centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57722140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74511360).

57722140 is an abundant number, since it is smaller than the sum of its proper divisors (91300580).

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

57722140 is a wasteful number, since it uses less digits than its factorization.

57722140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 28.

The square root of 57722140 is about 7597.5088022325. The cubic root of 57722140 is about 386.4685353673.

The spelling of 57722140 in words is "fifty-seven million, seven hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 79 85 119 140 158 170 238 307 316 340 395 476 553 595 614 790 1106 1190 1228 1343 1535 1580 2149 2212 2380 2686 2765 3070 4298 5219 5372 5530 6140 6715 8596 9401 10438 10745 11060 13430 18802 20876 21490 24253 26095 26860 36533 37604 42980 47005 48506 52190 73066 94010 97012 104380 121265 146132 169771 182665 188020 242530 339542 365330 412301 485060 679084 730660 824602 848855 1649204 1697710 2061505 2886107 3395420 4123010 5772214 8246020 11544428 14430535 28861070 57722140