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74139840 = 263358581
BaseRepresentation
bin1000110101101…
…00100011000000
312011111200202000
410122310203000
5122434433330
611205024000
71560115065
oct432644300
9164450660
1074139840
11389393a5
12209b5000
131248ac38
149bbcc6c
156797560
hex46b48c0

74139840 has 112 divisors (see below), whose sum is σ = 261579360. Its totient is φ = 19768320.

The previous prime is 74139811. The next prime is 74139847. The reversal of 74139840 is 4893147.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 74139795 and 74139804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74139847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4350 + ... + 12930.

It is an arithmetic number, because the mean of its divisors is an integer number (2335530).

Almost surely, 274139840 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 74139840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130789680).

74139840 is an abundant number, since it is smaller than the sum of its proper divisors (187439520).

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

74139840 is a wasteful number, since it uses less digits than its factorization.

74139840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8607 (or 8591 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 74139840 is about 8610.4494656202. The cubic root of 74139840 is about 420.0979363449.

The spelling of 74139840 in words is "seventy-four million, one hundred thirty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8581 8640 17162 25743 34324 42905 51486 68648 77229 85810 102972 128715 137296 154458 171620 205944 231687 257430 274592 308916 343240 386145 411888 463374 514860 549184 617832 686480 772290 823776 926748 1029720 1158435 1235664 1372960 1544580 1647552 1853496 2059440 2316870 2471328 2745920 3089160 3706992 4118880 4633740 4942656 6178320 7413984 8237760 9267480 12356640 14827968 18534960 24713280 37069920 74139840