Search a number
-
+
13002297 = 3721121743
BaseRepresentation
bin110001100110…
…011000111001
3220110120210120
4301212120321
511312033142
61142403453
7215342400
oct61463071
926416716
1013002297
117380900
124430589
132903289
141a26637
15121c7ec
hexc66639

13002297 has 72 divisors (see below), whose sum is σ = 24016608. Its totient is φ = 6209280.

The previous prime is 13002287. The next prime is 13002307. The reversal of 13002297 is 79220031.

13002297 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13002287) and next prime (13002307).

It is not a de Polignac number, because 13002297 - 26 = 13002233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13002257) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 302358 + ... + 302400.

It is an arithmetic number, because the mean of its divisors is an integer number (333564).

Almost surely, 213002297 is an apocalyptic number.

13002297 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

13002297 is a deficient number, since it is larger than the sum of its proper divisors (11014311).

13002297 is a wasteful number, since it uses less digits than its factorization.

13002297 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 13002297 is about 3605.8697979822. The cubic root of 13002297 is about 235.1473167149.

The spelling of 13002297 in words is "thirteen million, two thousand, two hundred ninety-seven".

Divisors: 1 3 7 11 17 21 33 43 49 51 77 119 121 129 147 187 231 301 357 363 473 539 561 731 833 847 903 1309 1419 1617 2057 2107 2193 2499 2541 3311 3927 5117 5203 5929 6171 6321 8041 9163 9933 14399 15351 15609 17787 23177 24123 27489 35819 36421 43197 56287 69531 88451 100793 107457 109263 168861 254947 265353 302379 394009 619157 764841 1182027 1857471 4334099 13002297