Search a number
-
+
13697190 = 23251323509
BaseRepresentation
bin110100010000…
…000010100110
3221202220000100
4310100002212
512001302230
61205324530
7224265333
oct64200246
927686010
1013697190
1178059a1
124706746
132ab7660
141b6798a
151308660
hexd100a6

13697190 has 96 divisors (see below), whose sum is σ = 40098240. Its totient is φ = 3218688.

The previous prime is 13697149. The next prime is 13697197. The reversal of 13697190 is 9179631.

13697190 is nontrivially palindromic in base 8.

It is a super-2 number, since 2×136971902 = 375226027792200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13697197) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26656 + ... + 27164.

It is an arithmetic number, because the mean of its divisors is an integer number (417690).

Almost surely, 213697190 is an apocalyptic number.

13697190 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 13697190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20049120).

13697190 is an abundant number, since it is smaller than the sum of its proper divisors (26401050).

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

13697190 is a wasteful number, since it uses less digits than its factorization.

13697190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 13697190 is about 3700.9714940810. The cubic root of 13697190 is about 239.2638904027.

The spelling of 13697190 in words is "thirteen million, six hundred ninety-seven thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 23 26 30 39 45 46 65 69 78 90 115 117 130 138 195 207 230 234 299 345 390 414 509 585 598 690 897 1018 1035 1170 1495 1527 1794 2070 2545 2691 2990 3054 4485 4581 5090 5382 6617 7635 8970 9162 11707 13234 13455 15270 19851 22905 23414 26910 33085 35121 39702 45810 58535 59553 66170 70242 99255 105363 117070 119106 152191 175605 198510 210726 297765 304382 351210 456573 526815 595530 760955 913146 1053630 1369719 1521910 2282865 2739438 4565730 6848595 13697190