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13190970 = 23513149227
BaseRepresentation
bin110010010100…
…011100111010
3220211011121110
4302110130322
511334102340
61150421150
7220056432
oct62243472
926734543
1013190970
11749a631
1245017b6
13296b110
141a752c2
151258680
hexc9473a

13190970 has 64 divisors (see below), whose sum is σ = 34473600. Its totient is φ = 3211008.

The previous prime is 13190951. The next prime is 13190977. The reversal of 13190970 is 7909131.

13190970 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (13190977) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57997 + ... + 58223.

It is an arithmetic number, because the mean of its divisors is an integer number (538650).

Almost surely, 213190970 is an apocalyptic number.

13190970 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 13190970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17236800).

13190970 is an abundant number, since it is smaller than the sum of its proper divisors (21282630).

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

13190970 is a wasteful number, since it uses less digits than its factorization.

13190970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399.

The product of its (nonzero) digits is 1701, while the sum is 30.

The square root of 13190970 is about 3631.9374994622. The cubic root of 13190970 is about 236.2792466802.

The spelling of 13190970 in words is "thirteen million, one hundred ninety thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 149 195 227 298 390 447 454 681 745 894 1135 1362 1490 1937 2235 2270 2951 3405 3874 4470 5811 5902 6810 8853 9685 11622 14755 17706 19370 29055 29510 33823 44265 58110 67646 88530 101469 169115 202938 338230 439699 507345 879398 1014690 1319097 2198495 2638194 4396990 6595485 13190970