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75105012 = 223291072017
BaseRepresentation
bin1000111101000…
…00001011110100
312020022201201010
410132200023310
5123211330022
611241432220
71601245023
oct436401364
9166281633
1075105012
1139438564
122119b670
1312738348
149d908ba
1568d850c
hex47a02f4

75105012 has 48 divisors (see below), whose sum is σ = 183072960. Its totient is φ = 23933952.

The previous prime is 75104941. The next prime is 75105049. The reversal of 75105012 is 21050157.

It is a self number, because there is not a number n which added to its sum of digits gives 75105012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36228 + ... + 38244.

It is an arithmetic number, because the mean of its divisors is an integer number (3814020).

Almost surely, 275105012 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 75105012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91536480).

75105012 is an abundant number, since it is smaller than the sum of its proper divisors (107967948).

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

75105012 is a wasteful number, since it uses less digits than its factorization.

75105012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2160 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 21.

The square root of 75105012 is about 8666.3147877284. The cubic root of 75105012 is about 421.9130643076.

Adding to 75105012 its reverse (21050157), we get a palindrome (96155169).

The spelling of 75105012 in words is "seventy-five million, one hundred five thousand, twelve".

Divisors: 1 2 3 4 6 12 29 58 87 107 116 174 214 321 348 428 642 1284 2017 3103 4034 6051 6206 8068 9309 12102 12412 18618 24204 37236 58493 116986 175479 215819 233972 350958 431638 647457 701916 863276 1294914 2589828 6258751 12517502 18776253 25035004 37552506 75105012