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58120000 = 26541453
BaseRepresentation
bin1101110110110…
…1011101000000
311001100210122121
43131231131000
5104334320000
65433414024
71304004031
oct335553500
9131323577
1058120000
112a897464
121756a314
13c06c343
147a0ca88
155180b1a
hex376d740

58120000 has 70 divisors (see below), whose sum is σ = 144217898. Its totient is φ = 23232000.

The previous prime is 58119979. The next prime is 58120033. The reversal of 58120000 is 2185.

It is a happy number.

58120000 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 5 ways, for example, as 7311616 + 50808384 = 2704^2 + 7128^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 39274 + ... + 40726.

Almost surely, 258120000 is an apocalyptic number.

58120000 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 58120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72108949).

58120000 is an abundant number, since it is smaller than the sum of its proper divisors (86097898).

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

58120000 is an equidigital number, since it uses as much as digits as its factorization.

58120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1485 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 58120000 is about 7623.6474210184. The cubic root of 58120000 is about 387.3544371755.

Adding to 58120000 its reverse (2185), we get a palindrome (58122185).

The spelling of 58120000 in words is "fifty-eight million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1453 1600 2000 2500 2906 4000 5000 5812 7265 8000 10000 11624 14530 20000 23248 29060 36325 40000 46496 58120 72650 92992 116240 145300 181625 232480 290600 363250 464960 581200 726500 908125 1162400 1453000 1816250 2324800 2906000 3632500 5812000 7265000 11624000 14530000 29060000 58120000