Search a number
-
+
13695990 = 23573113
BaseRepresentation
bin110100001111…
…101111110110
3221202211100220
4310033233312
512001232430
61205315210
7224262000
oct64175766
927684326
1013695990
117805000
124705b06
132ab6c49
141b67370
151308110
hexd0fbf6

13695990 has 128 divisors (see below), whose sum is σ = 42163200. Its totient is φ = 2845920.

The previous prime is 13695961. The next prime is 13696019. The reversal of 13695990 is 9959631.

It is an interprime number because it is at equal distance from previous prime (13695961) and next prime (13696019).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1245085 + ... + 1245095.

It is an arithmetic number, because the mean of its divisors is an integer number (329400).

Almost surely, 213695990 is an apocalyptic number.

13695990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13695990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21081600).

13695990 is an abundant number, since it is smaller than the sum of its proper divisors (28467210).

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

13695990 is an equidigital number, since it uses as much as digits as its factorization.

13695990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 65610, while the sum is 42.

The square root of 13695990 is about 3700.8093709350. The cubic root of 13695990 is about 239.2569029584.

The spelling of 13695990 in words is "thirteen million, six hundred ninety-five thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 49 55 66 70 77 98 105 110 121 147 154 165 210 231 242 245 294 330 343 363 385 462 490 539 605 686 726 735 770 847 1029 1078 1155 1210 1331 1470 1617 1694 1715 1815 2058 2310 2541 2662 2695 3234 3430 3630 3773 3993 4235 5082 5145 5390 5929 6655 7546 7986 8085 8470 9317 10290 11319 11858 12705 13310 16170 17787 18634 18865 19965 22638 25410 27951 29645 35574 37730 39930 41503 46585 55902 56595 59290 65219 83006 88935 93170 113190 124509 130438 139755 177870 195657 207515 249018 279510 326095 391314 415030 456533 622545 652190 913066 978285 1245090 1369599 1956570 2282665 2739198 4565330 6847995 13695990