Search a number
-
+
13697180 = 2257227431
BaseRepresentation
bin110100010000…
…000010011100
3221202212222222
4310100002130
512001302210
61205324512
7224265320
oct64200234
927685888
1013697180
117805992
124706738
132ab7653
141b67980
151308655
hexd1009c

13697180 has 48 divisors (see below), whose sum is σ = 33094656. Its totient is φ = 4664640.

The previous prime is 13697149. The next prime is 13697197. The reversal of 13697180 is 8179631.

It is a super-2 number, since 2×136971802 = 375225479904800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 13697180.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31565 + ... + 31995.

It is an arithmetic number, because the mean of its divisors is an integer number (689472).

Almost surely, 213697180 is an apocalyptic number.

13697180 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 13697180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16547328).

13697180 is an abundant number, since it is smaller than the sum of its proper divisors (19397476).

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

13697180 is a wasteful number, since it uses less digits than its factorization.

13697180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 35.

The square root of 13697180 is about 3700.9701430841. The cubic root of 13697180 is about 239.2638321757.

The spelling of 13697180 in words is "thirteen million, six hundred ninety-seven thousand, one hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 227 431 454 862 908 1135 1589 1724 2155 2270 3017 3178 4310 4540 6034 6356 7945 8620 12068 15085 15890 30170 31780 60340 97837 195674 391348 489185 684859 978370 1369718 1956740 2739436 3424295 6848590 13697180