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59141900 = 22521573767
BaseRepresentation
bin1110000110011…
…0111100001100
311010021201102202
43201212330030
5110120020100
65511341032
71315461236
oct341467414
9133251382
1059141900
1130425204
1217981778
13c33950c
147bd7256
1552d37d5
hex3866f0c

59141900 has 36 divisors (see below), whose sum is σ = 129189648. Its totient is φ = 23499840.

The previous prime is 59141897. The next prime is 59141909. The reversal of 59141900 is 914195.

59141900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×591419002 = 6995528671220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (59141909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13817 + ... + 17583.

Almost surely, 259141900 is an apocalyptic number.

59141900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59141900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64594824).

59141900 is an abundant number, since it is smaller than the sum of its proper divisors (70047748).

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

59141900 is a wasteful number, since it uses less digits than its factorization.

59141900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3938 (or 3931 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 29.

The square root of 59141900 is about 7690.3771038877. The cubic root of 59141900 is about 389.6114912557.

The spelling of 59141900 in words is "fifty-nine million, one hundred forty-one thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 157 314 628 785 1570 3140 3767 3925 7534 7850 15068 15700 18835 37670 75340 94175 188350 376700 591419 1182838 2365676 2957095 5914190 11828380 14785475 29570950 59141900