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42139980 = 22335731069
BaseRepresentation
bin1010000011000…
…0000101001100
32221021221012000
42200300011030
541241434410
64103112300
71021120041
oct240600514
987257160
1042139980
1121872433
1212142690
1389658cc
14584d1c8
153a75dc0
hex283014c

42139980 has 96 divisors (see below), whose sum is σ = 133022400. Its totient is φ = 11073024.

The previous prime is 42139973. The next prime is 42140017. The reversal of 42139980 is 8993124.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 38886 + ... + 39954.

It is an arithmetic number, because the mean of its divisors is an integer number (1385650).

Almost surely, 242139980 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 42139980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66511200).

42139980 is an abundant number, since it is smaller than the sum of its proper divisors (90882420).

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

42139980 is a wasteful number, since it uses less digits than its factorization.

42139980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 42139980 is about 6491.5314063786. The cubic root of 42139980 is about 347.9884062725.

It can be divided in two parts, 421 and 39980, that added together give a square (40401 = 2012).

The spelling of 42139980 in words is "forty-two million, one hundred thirty-nine thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 73 90 108 135 146 180 219 270 292 365 438 540 657 730 876 1069 1095 1314 1460 1971 2138 2190 2628 3207 3285 3942 4276 4380 5345 6414 6570 7884 9621 9855 10690 12828 13140 16035 19242 19710 21380 28863 32070 38484 39420 48105 57726 64140 78037 96210 115452 144315 156074 192420 234111 288630 312148 390185 468222 577260 702333 780370 936444 1170555 1404666 1560740 2106999 2341110 2809332 3511665 4213998 4682220 7023330 8427996 10534995 14046660 21069990 42139980