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13397670 = 23351113347
BaseRepresentation
bin110011000110…
…111010100110
3221012200011000
4303012322212
511412211140
61155054130
7221610156
oct63067246
927180130
1013397670
117620960
1245a1346
132a11220
141aca766
151299a30
hexcc6ea6

13397670 has 128 divisors (see below), whose sum is σ = 42094080. Its totient is φ = 2989440.

The previous prime is 13397653. The next prime is 13397677. The reversal of 13397670 is 7679331.

It is a super-2 number, since 2×133976702 = 358995122857800, 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 Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13397677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38437 + ... + 38783.

It is an arithmetic number, because the mean of its divisors is an integer number (328860).

Almost surely, 213397670 is an apocalyptic number.

13397670 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 13397670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21047040).

13397670 is an abundant number, since it is smaller than the sum of its proper divisors (28696410).

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

13397670 is a wasteful number, since it uses less digits than its factorization.

13397670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 36.

The square root of 13397670 is about 3660.2827759614. The cubic root of 13397670 is about 237.5070062568.

It can be divided in two parts, 1339 and 7670, that added together give a palindrome (9009).

The spelling of 13397670 in words is "thirteen million, three hundred ninety-seven thousand, six hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 13 15 18 22 26 27 30 33 39 45 54 55 65 66 78 90 99 110 117 130 135 143 165 195 198 234 270 286 297 330 347 351 390 429 495 585 594 694 702 715 858 990 1041 1170 1287 1430 1485 1735 1755 2082 2145 2574 2970 3123 3470 3510 3817 3861 4290 4511 5205 6246 6435 7634 7722 9022 9369 10410 11451 12870 13533 15615 18738 19085 19305 22555 22902 27066 31230 34353 38170 38610 40599 45110 46845 49621 57255 67665 68706 81198 93690 99242 103059 114510 121797 135330 148863 171765 202995 206118 243594 248105 297726 343530 405990 446589 496210 515295 608985 744315 893178 1030590 1217970 1339767 1488630 2232945 2679534 4465890 6698835 13397670