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104272740 = 2232511134051
BaseRepresentation
bin1100011011100…
…01001101100100
321021012121022100
412031301031210
5203143211430
614202532100
72404206105
oct615611544
9237177270
10104272740
115394a720
122ab07030
13187ab560
14dbc43ac
15924a960
hex6371364

104272740 has 144 divisors (see below), whose sum is σ = 371681856. Its totient is φ = 23328000.

The previous prime is 104272709. The next prime is 104272757. The reversal of 104272740 is 47272401.

It is a happy 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, 23715 + ... + 27765.

It is an arithmetic number, because the mean of its divisors is an integer number (2581124).

Almost surely, 2104272740 is an apocalyptic number.

104272740 is a gapful number since it is divisible by the number (10) 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 104272740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185840928).

104272740 is an abundant number, since it is smaller than the sum of its proper divisors (267409116).

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

104272740 is a wasteful number, since it uses less digits than its factorization.

104272740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4090 (or 4085 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 104272740 is about 10211.4024502024. The cubic root of 104272740 is about 470.6776703854.

The spelling of 104272740 in words is "one hundred four million, two hundred seventy-two thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 13 15 18 20 22 26 30 33 36 39 44 45 52 55 60 65 66 78 90 99 110 117 130 132 143 156 165 180 195 198 220 234 260 286 330 390 396 429 468 495 572 585 660 715 780 858 990 1170 1287 1430 1716 1980 2145 2340 2574 2860 4051 4290 5148 6435 8102 8580 12153 12870 16204 20255 24306 25740 36459 40510 44561 48612 52663 60765 72918 81020 89122 105326 121530 133683 145836 157989 178244 182295 210652 222805 243060 263315 267366 315978 364590 401049 445610 473967 526630 534732 579293 631956 668415 729180 789945 802098 891220 947934 1053260 1158586 1336830 1579890 1604196 1737879 1895868 2005245 2317172 2369835 2673660 2896465 3159780 3475758 4010490 4739670 5213637 5792930 6951516 8020980 8689395 9479340 10427274 11585860 17378790 20854548 26068185 34757580 52136370 104272740