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59099040 = 253257111341
BaseRepresentation
bin1110000101110…
…0011110100000
311010012112122100
43201130132200
5110112132130
65510410400
71315222260
oct341343640
9133175570
1059099040
11303a5a90
1217960a00
13c322b60
147bc57a0
1552c5c60
hex385c7a0

59099040 has 576 divisors, whose sum is σ = 277385472. Its totient is φ = 11059200.

The previous prime is 59099011. The next prime is 59099041. The reversal of 59099040 is 4099095.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 59098986 and 59099004.

It is not an unprimeable number, because it can be changed into a prime (59099041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1441420 + ... + 1441460.

It is an arithmetic number, because the mean of its divisors is an integer number (481572).

Almost surely, 259099040 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 59099040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138692736).

59099040 is an abundant number, since it is smaller than the sum of its proper divisors (218286432).

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

59099040 is a wasteful number, since it uses less digits than its factorization.

59099040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 59099040 is about 7687.5899994732. The cubic root of 59099040 is about 389.5173516581.

Subtracting from 59099040 its reverse (4099095), we obtain a palindrome (54999945).

The spelling of 59099040 in words is "fifty-nine million, ninety-nine thousand, forty".