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13903920 = 2433541157
BaseRepresentation
bin110101000010…
…100000110000
3222011101121000
4311002200300
512024411140
61214002000
7226116132
oct65024060
928141530
1013903920
117937248
1247a6300
132b5a794
141bbd052
151349a30
hexd42830

13903920 has 160 divisors (see below), whose sum is σ = 49371840. Its totient is φ = 3594240.

The previous prime is 13903889. The next prime is 13903949. The reversal of 13903920 is 2930931.

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

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, 88482 + ... + 88638.

It is an arithmetic number, because the mean of its divisors is an integer number (308574).

Almost surely, 213903920 is an apocalyptic number.

13903920 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 13903920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24685920).

13903920 is an abundant number, since it is smaller than the sum of its proper divisors (35467920).

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

13903920 is a wasteful number, since it uses less digits than its factorization.

13903920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 13903920 is about 3728.7960523472. The cubic root of 13903920 is about 240.4616115756.

The spelling of 13903920 in words is "thirteen million, nine hundred three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 41 45 48 54 60 72 80 82 90 108 120 123 135 144 157 164 180 205 216 240 246 270 314 328 360 369 410 432 471 492 540 615 628 656 720 738 785 820 942 984 1080 1107 1230 1256 1413 1476 1570 1640 1845 1884 1968 2160 2214 2355 2460 2512 2826 2952 3140 3280 3690 3768 4239 4428 4710 4920 5535 5652 5904 6280 6437 7065 7380 7536 8478 8856 9420 9840 11070 11304 12560 12874 14130 14760 16956 17712 18840 19311 21195 22140 22608 25748 28260 29520 32185 33912 37680 38622 42390 44280 51496 56520 57933 64370 67824 77244 84780 88560 96555 102992 113040 115866 128740 154488 169560 173799 193110 231732 257480 289665 308976 339120 347598 386220 463464 514960 579330 695196 772440 868995 926928 1158660 1390392 1544880 1737990 2317320 2780784 3475980 4634640 6951960 13903920