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13293840 = 2435741193
BaseRepresentation
bin110010101101…
…100100010000
3221000101201110
4302231210100
511400400330
61152533320
7220665360
oct62554420
927011643
1013293840
11755a94a
124551240
1329a5ba1
141aa09a0
151278db0
hexcad910

13293840 has 160 divisors (see below), whose sum is σ = 48496896. Its totient is φ = 2949120.

The previous prime is 13293817. The next prime is 13293851. The reversal of 13293840 is 4839231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13293798 and 13293807.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68784 + ... + 68976.

Almost surely, 213293840 is an apocalyptic number.

13293840 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 13293840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24248448).

13293840 is an abundant number, since it is smaller than the sum of its proper divisors (35203056).

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

13293840 is a wasteful number, since it uses less digits than its factorization.

13293840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 13293840 is about 3646.0718588640. The cubic root of 13293840 is about 236.8918661396.

The spelling of 13293840 in words is "thirteen million, two hundred ninety-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 41 42 48 56 60 70 80 82 84 105 112 120 123 140 164 168 193 205 210 240 246 280 287 328 336 386 410 420 492 560 574 579 615 656 772 820 840 861 965 984 1148 1158 1230 1351 1435 1544 1640 1680 1722 1930 1968 2296 2316 2460 2702 2870 2895 3088 3280 3444 3860 4053 4305 4592 4632 4920 5404 5740 5790 6755 6888 7720 7913 8106 8610 9264 9840 10808 11480 11580 13510 13776 15440 15826 16212 17220 20265 21616 22960 23160 23739 27020 31652 32424 34440 39565 40530 46320 47478 54040 55391 63304 64848 68880 79130 81060 94956 108080 110782 118695 126608 158260 162120 166173 189912 221564 237390 276955 316520 324240 332346 379824 443128 474780 553910 633040 664692 830865 886256 949560 1107820 1329384 1661730 1899120 2215640 2658768 3323460 4431280 6646920 13293840