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57002040 = 23325191829
BaseRepresentation
bin1101100101110…
…0100000111000
310222021000002200
43121130200320
5104043031130
65353430200
71261336464
oct331344070
9128230080
1057002040
112a1a3527
121710b360
13ba6a524
1477db4a4
15500e760
hex365c838

57002040 has 96 divisors (see below), whose sum is σ = 186451200. Its totient is φ = 15102720.

The previous prime is 57002039. The next prime is 57002041. The reversal of 57002040 is 4020075.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (57002039) and next prime (57002041).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57002041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68346 + ... + 69174.

It is an arithmetic number, because the mean of its divisors is an integer number (1942200).

Almost surely, 257002040 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 57002040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93225600).

57002040 is an abundant number, since it is smaller than the sum of its proper divisors (129449160).

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

57002040 is a wasteful number, since it uses less digits than its factorization.

57002040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 57002040 is about 7549.9695363624. The cubic root of 57002040 is about 384.8547042672.

The spelling of 57002040 in words is "fifty-seven million, two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 191 360 382 573 764 829 955 1146 1528 1658 1719 1910 2292 2487 2865 3316 3438 3820 4145 4584 4974 5730 6632 6876 7461 7640 8290 8595 9948 11460 12435 13752 14922 16580 17190 19896 22920 24870 29844 33160 34380 37305 49740 59688 68760 74610 99480 149220 158339 298440 316678 475017 633356 791695 950034 1266712 1425051 1583390 1900068 2375085 2850102 3166780 3800136 4750170 5700204 6333560 7125255 9500340 11400408 14250510 19000680 28501020 57002040