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73913040 = 24335191801
BaseRepresentation
bin1000110011111…
…01001011010000
312011002011122000
410121331023100
5122410204130
611200114000
71555151625
oct431751320
9164064560
1073913040
11387a3a63
1220905900
131240b936
149b6034c
156750260
hex467d2d0

73913040 has 160 divisors (see below), whose sum is σ = 268137600. Its totient is φ = 18662400.

The previous prime is 73913027. The next prime is 73913041. The reversal of 73913040 is 4031937.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 73912995 and 73913013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73913041) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 40140 + ... + 41940.

It is an arithmetic number, because the mean of its divisors is an integer number (1675860).

Almost surely, 273913040 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 73913040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134068800).

73913040 is an abundant number, since it is smaller than the sum of its proper divisors (194224560).

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

73913040 is a wasteful number, since it uses less digits than its factorization.

73913040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1842 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 73913040 is about 8597.2693339223. The cubic root of 73913040 is about 419.6691271644.

Adding to 73913040 its reverse (4031937), we get a palindrome (77944977).

The spelling of 73913040 in words is "seventy-three million, nine hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 30 36 38 40 45 48 54 57 60 72 76 80 90 95 108 114 120 135 144 152 171 180 190 216 228 240 270 285 304 342 360 380 432 456 513 540 570 684 720 760 855 912 1026 1080 1140 1368 1520 1710 1801 2052 2160 2280 2565 2736 3420 3602 4104 4560 5130 5403 6840 7204 8208 9005 10260 10806 13680 14408 16209 18010 20520 21612 27015 28816 32418 34219 36020 41040 43224 48627 54030 64836 68438 72040 81045 86448 97254 102657 108060 129672 136876 144080 162090 171095 194508 205314 216120 243135 259344 273752 307971 324180 342190 389016 410628 432240 486270 513285 547504 615942 648360 684380 778032 821256 923913 972540 1026570 1231884 1296720 1368760 1539855 1642512 1847826 1945080 2053140 2463768 2737520 3079710 3695652 3890160 4106280 4619565 4927536 6159420 7391304 8212560 9239130 12318840 14782608 18478260 24637680 36956520 73913040