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13739220 = 2235511257
BaseRepresentation
bin110100011010…
…010011010100
3221212000200000
4310122103110
512004123340
61210251300
7224532015
oct64322324
927760600
1013739220
117834530
124726b30
132b00821
141b7900c
151315d30
hexd1a4d4

13739220 has 144 divisors (see below), whose sum is σ = 47331648. Its totient is φ = 3317760.

The previous prime is 13739189. The next prime is 13739249. The reversal of 13739220 is 2293731.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53332 + ... + 53588.

It is an arithmetic number, because the mean of its divisors is an integer number (328692).

Almost surely, 213739220 is an apocalyptic number.

13739220 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 13739220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23665824).

13739220 is an abundant number, since it is smaller than the sum of its proper divisors (33592428).

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

13739220 is a wasteful number, since it uses less digits than its factorization.

13739220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 278 counting only the distinct ones).

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

The square root of 13739220 is about 3706.6453836319. The cubic root of 13739220 is about 239.5083685983.

The spelling of 13739220 in words is "thirteen million, seven hundred thirty-nine thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 243 257 270 297 324 330 396 405 486 495 514 540 594 660 771 810 891 972 990 1028 1188 1215 1285 1485 1542 1620 1782 1980 2313 2430 2570 2673 2827 2970 3084 3564 3855 4455 4626 4860 5140 5346 5654 5940 6939 7710 8481 8910 9252 10692 11308 11565 13365 13878 14135 15420 16962 17820 20817 23130 25443 26730 27756 28270 33924 34695 41634 42405 46260 50886 53460 56540 62451 69390 76329 83268 84810 101772 104085 124902 127215 138780 152658 169620 208170 228987 249804 254430 305316 312255 381645 416340 457974 508860 624510 686961 763290 915948 1144935 1249020 1373922 1526580 2289870 2747844 3434805 4579740 6869610 13739220