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42110520 = 23351033407
BaseRepresentation
bin1010000010100…
…0111000111000
32221020102202220
42200220320320
541240014040
64102324040
71020635124
oct240507070
987212686
1042110520
1121852291
1212129620
13895538a
145842584
153a6c2d0
hex2828e38

42110520 has 64 divisors (see below), whose sum is σ = 127595520. Its totient is φ = 11117184.

The previous prime is 42110507. The next prime is 42110569. The reversal of 42110520 is 2501124.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 42110520.

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, 10657 + ... + 14063.

It is an arithmetic number, because the mean of its divisors is an integer number (1993680).

Almost surely, 242110520 is an apocalyptic number.

42110520 is a gapful number since it is divisible by the number (40) 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 42110520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63797760).

42110520 is an abundant number, since it is smaller than the sum of its proper divisors (85485000).

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

42110520 is a wasteful number, since it uses less digits than its factorization.

42110520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3524 (or 3520 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 42110520 is about 6489.2618994767. The cubic root of 42110520 is about 347.9072946348.

Adding to 42110520 its reverse (2501124), we get a palindrome (44611644).

The spelling of 42110520 in words is "forty-two million, one hundred ten thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 103 120 206 309 412 515 618 824 1030 1236 1545 2060 2472 3090 3407 4120 6180 6814 10221 12360 13628 17035 20442 27256 34070 40884 51105 68140 81768 102210 136280 204420 350921 408840 701842 1052763 1403684 1754605 2105526 2807368 3509210 4211052 5263815 7018420 8422104 10527630 14036840 21055260 42110520