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42156840 = 233511109293
BaseRepresentation
bin1010000011010…
…0001100101000
32221022210022110
42200310030220
541243004330
64103322320
71021220145
oct240641450
987283273
1042156840
1121884070
12121503a0
13897049b
1458553cc
153a7adb0
hex2834328

42156840 has 128 divisors (see below), whose sum is σ = 139708800. Its totient is φ = 10091520.

The previous prime is 42156817. The next prime is 42156859. The reversal of 42156840 is 4865124.

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

It is a junction number, because it is equal to n+sod(n) for n = 42156798 and 42156807.

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, 143734 + ... + 144026.

It is an arithmetic number, because the mean of its divisors is an integer number (1091475).

Almost surely, 242156840 is an apocalyptic number.

42156840 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 42156840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69854400).

42156840 is an abundant number, since it is smaller than the sum of its proper divisors (97551960).

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

42156840 is a wasteful number, since it uses less digits than its factorization.

42156840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 42156840 is about 6492.8298915034. The cubic root of 42156840 is about 348.0348095712.

The spelling of 42156840 in words is "forty-two million, one hundred fifty-six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 109 110 120 132 165 218 220 264 293 327 330 436 440 545 586 654 660 872 879 1090 1172 1199 1308 1320 1465 1635 1758 2180 2344 2398 2616 2930 3223 3270 3516 3597 4360 4395 4796 5860 5995 6446 6540 7032 7194 8790 9592 9669 11720 11990 12892 13080 14388 16115 17580 17985 19338 23980 25784 28776 31937 32230 35160 35970 38676 47960 48345 63874 64460 71940 77352 95811 96690 127748 128920 143880 159685 191622 193380 255496 319370 351307 383244 386760 479055 638740 702614 766488 958110 1053921 1277480 1405228 1756535 1916220 2107842 2810456 3513070 3832440 4215684 5269605 7026140 8431368 10539210 14052280 21078420 42156840