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42099420 = 223511227281
BaseRepresentation
bin1010000010011…
…0001011011100
32221012212112210
42200212023130
541234140140
64102200420
71020560556
oct240461334
987185483
1042099420
1121844a10
1212123110
1389502cc
14583c4d6
153a68d80
hex28262dc

42099420 has 96 divisors (see below), whose sum is σ = 129620736. Its totient is φ = 10124800.

The previous prime is 42099413. The next prime is 42099433. The reversal of 42099420 is 2499024.

It is a super-2 number, since 2×420994202 = 3544722328672800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149680 + ... + 149960.

It is an arithmetic number, because the mean of its divisors is an integer number (1350216).

Almost surely, 242099420 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 42099420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64810368).

42099420 is an abundant number, since it is smaller than the sum of its proper divisors (87521316).

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

42099420 is a wasteful number, since it uses less digits than its factorization.

42099420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 42099420 is about 6488.4065840544. The cubic root of 42099420 is about 347.8767234115.

The spelling of 42099420 in words is "forty-two million, ninety-nine thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 227 281 330 454 562 660 681 843 908 1124 1135 1362 1405 1686 2270 2497 2724 2810 3091 3372 3405 4215 4540 4994 5620 6182 6810 7491 8430 9273 9988 12364 12485 13620 14982 15455 16860 18546 24970 29964 30910 37092 37455 46365 49940 61820 63787 74910 92730 127574 149820 185460 191361 255148 318935 382722 637870 701657 765444 956805 1275740 1403314 1913610 2104971 2806628 3508285 3827220 4209942 7016570 8419884 10524855 14033140 21049710 42099420