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74487420 = 223257311907
BaseRepresentation
bin1000111000010…
…01011001111100
312012011100112100
410130021121330
5123032044140
611220305100
71563063330
oct434113174
9165140470
1074487420
1139056557
1220b42190
13125801c7
149c6d7c0
156815530
hex470967c

74487420 has 144 divisors (see below), whose sum is σ = 266692608. Its totient is φ = 16467840.

The previous prime is 74487403. The next prime is 74487463. The reversal of 74487420 is 2478447.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38107 + ... + 40013.

It is an arithmetic number, because the mean of its divisors is an integer number (1852032).

Almost surely, 274487420 is an apocalyptic number.

74487420 is a gapful number since it is divisible by the number (70) 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 74487420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133346304).

74487420 is an abundant number, since it is smaller than the sum of its proper divisors (192205188).

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

74487420 is a wasteful number, since it uses less digits than its factorization.

74487420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1960 (or 1955 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 74487420 is about 8630.6094802163. The cubic root of 74487420 is about 420.7534096061.

The spelling of 74487420 in words is "seventy-four million, four hundred eighty-seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 31 35 36 42 45 60 62 63 70 84 90 93 105 124 126 140 155 180 186 210 217 252 279 310 315 372 420 434 465 558 620 630 651 868 930 1085 1116 1260 1302 1395 1860 1907 1953 2170 2604 2790 3255 3814 3906 4340 5580 5721 6510 7628 7812 9535 9765 11442 13020 13349 17163 19070 19530 22884 26698 28605 34326 38140 39060 40047 53396 57210 59117 66745 68652 80094 85815 114420 118234 120141 133490 160188 171630 177351 200235 236468 240282 266980 295585 343260 354702 400470 413819 480564 532053 591170 600705 709404 800940 827638 886755 1064106 1182340 1201410 1241457 1655276 1773510 2069095 2128212 2402820 2482914 2660265 3547020 3724371 4138190 4965828 5320530 6207285 7448742 8276380 10641060 12414570 14897484 18621855 24829140 37243710 74487420