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59030070 = 235111131583
BaseRepresentation
bin1110000100101…
…1101000110110
311010002001000220
43201023220312
5110102430240
65505115210
71314514221
oct341135066
9133061026
1059030070
1130359190
1217928b06
13c2ca648
147ba85b8
1552b05d0
hex384ba36

59030070 has 64 divisors (see below), whose sum is σ = 156017664. Its totient is φ = 14174720.

The previous prime is 59030053. The next prime is 59030071. The reversal of 59030070 is 7003095.

59030070 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 59030070.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59030071) 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 31 ways as a sum of consecutive naturals, for example, 36499 + ... + 38081.

It is an arithmetic number, because the mean of its divisors is an integer number (2437776).

Almost surely, 259030070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59030070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78008832).

59030070 is an abundant number, since it is smaller than the sum of its proper divisors (96987594).

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

59030070 is a wasteful number, since it uses less digits than its factorization.

59030070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1717.

The product of its (nonzero) digits is 945, while the sum is 24.

The square root of 59030070 is about 7683.1028888074. The cubic root of 59030070 is about 389.3657673051.

The spelling of 59030070 in words is "fifty-nine million, thirty thousand, seventy".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 113 165 226 330 339 565 678 1130 1243 1583 1695 2486 3166 3390 3729 4749 6215 7458 7915 9498 12430 15830 17413 18645 23745 34826 37290 47490 52239 87065 104478 174130 178879 261195 357758 522390 536637 894395 1073274 1788790 1967669 2683185 3935338 5366370 5903007 9838345 11806014 19676690 29515035 59030070