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13639920 = 2435723353
BaseRepresentation
bin110100000010…
…000011110000
3221122222110020
4310002003300
511442434140
61204203440
7223636350
oct64020360
927588406
1013639920
117776968
124699580
132a97578
141b50b60
1512e66d0
hexd020f0

13639920 has 160 divisors (see below), whose sum is σ = 50568192. Its totient is φ = 2973696.

The previous prime is 13639919. The next prime is 13639937. The reversal of 13639920 is 2993631.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 38464 + ... + 38816.

Almost surely, 213639920 is an apocalyptic number.

13639920 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 13639920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25284096).

13639920 is an abundant number, since it is smaller than the sum of its proper divisors (36928272).

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

13639920 is a wasteful number, since it uses less digits than its factorization.

13639920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 33.

The square root of 13639920 is about 3693.2262319008. The cubic root of 13639920 is about 238.9299585259.

The spelling of 13639920 in words is "thirteen million, six hundred thirty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 23 24 28 30 35 40 42 46 48 56 60 69 70 80 84 92 105 112 115 120 138 140 161 168 184 210 230 240 276 280 322 336 345 353 368 420 460 483 552 560 644 690 706 805 840 920 966 1059 1104 1288 1380 1412 1610 1680 1765 1840 1932 2118 2415 2471 2576 2760 2824 3220 3530 3864 4236 4830 4942 5295 5520 5648 6440 7060 7413 7728 8119 8472 9660 9884 10590 12355 12880 14120 14826 16238 16944 19320 19768 21180 24357 24710 28240 29652 32476 37065 38640 39536 40595 42360 48714 49420 56833 59304 64952 74130 81190 84720 97428 98840 113666 118608 121785 129904 148260 162380 170499 194856 197680 227332 243570 284165 296520 324760 340998 389712 454664 487140 568330 593040 649520 681996 852495 909328 974280 1136660 1363992 1704990 1948560 2273320 2727984 3409980 4546640 6819960 13639920