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59400020 = 2255971709
BaseRepresentation
bin1110001010010…
…1111101010100
311010202211111202
43202211331110
5110201300040
65521052032
71320614621
oct342457524
9133684452
1059400020
1130591129
1217a87018
13c3c9b54
147c63348
155335015
hex38a5f54

59400020 has 48 divisors (see below), whose sum is σ = 128822400. Its totient is φ = 22995840.

The previous prime is 59400017. The next prime is 59400041. The reversal of 59400020 is 2000495.

59400020 = T1 + T2 + ... + T708.

59400020 is a nontrivial binomial coefficient, being equal to C(710, 3).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 59399965 and 59400001.

It is a congruent number.

It is an unprimeable number.

It is the 708-th tetrahedral number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83426 + ... + 84134.

It is an arithmetic number, because the mean of its divisors is an integer number (2683800).

Almost surely, 259400020 is an apocalyptic number.

It is an amenable number.

59400020 is an abundant number, since it is smaller than the sum of its proper divisors (69422380).

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

59400020 is a wasteful number, since it uses less digits than its factorization.

59400020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 59400020 is about 7707.1408446972. The cubic root of 59400020 is about 390.1774778464.

The spelling of 59400020 in words is "fifty-nine million, four hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 59 71 118 142 236 284 295 355 590 709 710 1180 1418 1420 2836 3545 4189 7090 8378 14180 16756 20945 41831 41890 50339 83662 83780 100678 167324 201356 209155 251695 418310 503390 836620 1006780 2970001 5940002 11880004 14850005 29700010 59400020