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74404980 = 22345133533
BaseRepresentation
bin1000110111101…
…01010001110100
312012000011110000
410123311101310
5123021424410
611214431300
71562301066
oct433652164
9165004400
1074404980
1138aaa621
1220b02530
1312551820
149c4b736
1567eadc0
hex46f5474

74404980 has 120 divisors (see below), whose sum is σ = 251437032. Its totient is φ = 18309888.

The previous prime is 74404973. The next prime is 74405021. The reversal of 74404980 is 8940447.

It can be written as a sum of positive squares in 4 ways, for example, as 6441444 + 67963536 = 2538^2 + 8244^2 .

It is a super-2 number, since 2×744049802 = 11072202097600800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19294 + ... + 22826.

Almost surely, 274404980 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 74404980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125718516).

74404980 is an abundant number, since it is smaller than the sum of its proper divisors (177032052).

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

74404980 is a wasteful number, since it uses less digits than its factorization.

74404980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3567 (or 3556 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 74404980 is about 8625.8321337712. The cubic root of 74404980 is about 420.5981273866.

The spelling of 74404980 in words is "seventy-four million, four hundred four thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 260 270 324 351 390 405 468 540 585 702 780 810 1053 1170 1404 1620 1755 2106 2340 3510 3533 4212 5265 7020 7066 10530 10599 14132 17665 21060 21198 31797 35330 42396 45929 52995 63594 70660 91858 95391 105990 127188 137787 158985 183716 190782 211980 229645 275574 286173 317970 381564 413361 459290 476955 551148 572346 635940 688935 826722 918580 953910 1144692 1240083 1377870 1430865 1653444 1907820 2066805 2480166 2755740 2861730 3720249 4133610 4960332 5723460 6200415 7440498 8267220 12400830 14880996 18601245 24801660 37202490 74404980