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13701072 = 2437112337
BaseRepresentation
bin110100010000…
…111111010000
3221210002100010
4310100333100
512001413242
61205354520
7224312550
oct64207720
927702303
1013701072
117808900
124708a40
132ab9358
141b69160
15130989c
hexd10fd0

13701072 has 120 divisors (see below), whose sum is σ = 44594368. Its totient is φ = 3548160.

The previous prime is 13701067. The next prime is 13701089. The reversal of 13701072 is 27010731.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 23 ways as a sum of consecutive naturals, for example, 40488 + ... + 40824.

Almost surely, 213701072 is an apocalyptic number.

13701072 is a gapful number since it is divisible by the number (12) 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 13701072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22297184).

13701072 is an abundant number, since it is smaller than the sum of its proper divisors (30893296).

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

13701072 is a wasteful number, since it uses less digits than its factorization.

13701072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 21.

The square root of 13701072 is about 3701.4959138165. The cubic root of 13701072 is about 239.2864919895.

It can be divided in two parts, 1370 and 1072, that added together give a palindrome (2442).

The spelling of 13701072 in words is "thirteen million, seven hundred one thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 121 132 154 168 176 231 242 264 308 336 337 363 462 484 528 616 674 726 847 924 968 1011 1232 1348 1452 1694 1848 1936 2022 2359 2541 2696 2904 3388 3696 3707 4044 4718 5082 5392 5808 6776 7077 7414 8088 9436 10164 11121 13552 14154 14828 16176 18872 20328 22242 25949 28308 29656 37744 40656 40777 44484 51898 56616 59312 77847 81554 88968 103796 113232 122331 155694 163108 177936 207592 244662 285439 311388 326216 415184 489324 570878 622776 652432 856317 978648 1141756 1245552 1712634 1957296 2283512 3425268 4567024 6850536 13701072