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42012420 = 223519137269
BaseRepresentation
bin1010000001000…
…0111100000100
32221001110012120
42200100330010
541223344140
64100245540
71020046122
oct240207404
987043176
1042012420
112179560a
12120a08b0
13891c828
145818912
153a4d1d0
hex2810f04

42012420 has 96 divisors (see below), whose sum is σ = 125193600. Its totient is φ = 10497024.

The previous prime is 42012403. The next prime is 42012431. The reversal of 42012420 is 2421024.

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 42012420.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156046 + ... + 156314.

It is an arithmetic number, because the mean of its divisors is an integer number (1304100).

Almost surely, 242012420 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 42012420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62596800).

42012420 is an abundant number, since it is smaller than the sum of its proper divisors (83181180).

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

42012420 is a wasteful number, since it uses less digits than its factorization.

42012420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 42012420 is about 6481.6988513815. The cubic root of 42012420 is about 347.6369248030.

Adding to 42012420 its reverse (2421024), we get a palindrome (44433444).

The spelling of 42012420 in words is "forty-two million, twelve thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 137 190 228 269 274 285 380 411 538 548 570 685 807 822 1076 1140 1345 1370 1614 1644 2055 2603 2690 2740 3228 4035 4110 5111 5206 5380 7809 8070 8220 10222 10412 13015 15333 15618 16140 20444 25555 26030 30666 31236 36853 39045 51110 52060 61332 73706 76665 78090 102220 110559 147412 153330 156180 184265 221118 306660 368530 442236 552795 700207 737060 1105590 1400414 2100621 2211180 2800828 3501035 4201242 7002070 8402484 10503105 14004140 21006210 42012420