Search a number
-
+
13181070 = 2357232729
BaseRepresentation
bin110010010010…
…000010001110
3220210200000210
4302102002032
511333243240
61150303250
7220015530
oct62220216
926720023
1013181070
117493151
1244b7b26
132966766
141a71850
151255780
hexc9208e

13181070 has 64 divisors (see below), whose sum is σ = 37739520. Its totient is φ = 2880768.

The previous prime is 13181057. The next prime is 13181083. The reversal of 13181070 is 7018131.

It is an interprime number because it is at equal distance from previous prime (13181057) and next prime (13181083).

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3466 + ... + 6194.

It is an arithmetic number, because the mean of its divisors is an integer number (589680).

Almost surely, 213181070 is an apocalyptic number.

13181070 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 13181070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18869760).

13181070 is an abundant number, since it is smaller than the sum of its proper divisors (24558450).

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

13181070 is a wasteful number, since it uses less digits than its factorization.

13181070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2769.

The product of its (nonzero) digits is 168, while the sum is 21.

The square root of 13181070 is about 3630.5743347300. The cubic root of 13181070 is about 236.2201216379.

The spelling of 13181070 in words is "thirteen million, one hundred eighty-one thousand, seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 42 46 69 70 105 115 138 161 210 230 322 345 483 690 805 966 1610 2415 2729 4830 5458 8187 13645 16374 19103 27290 38206 40935 57309 62767 81870 95515 114618 125534 188301 191030 286545 313835 376602 439369 573090 627670 878738 941505 1318107 1883010 2196845 2636214 4393690 6590535 13181070