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12941370 = 2345131229
BaseRepresentation
bin110001010111…
…100000111010
3220100111020000
4301113200322
511303110440
61141213430
7214666641
oct61274072
926314200
1012941370
11733a052
124401276
1328b1620
141a0c358
151209730
hexc5783a

12941370 has 80 divisors (see below), whose sum is σ = 37505160. Its totient is φ = 3182976.

The previous prime is 12941347. The next prime is 12941371. The reversal of 12941370 is 7314921.

12941370 is a `hidden beast` number, since 1 + 294 + 1 + 370 = 666.

12941370 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 can be written as a sum of positive squares in 4 ways, for example, as 11634921 + 1306449 = 3411^2 + 1143^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12941371) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9916 + ... + 11144.

Almost surely, 212941370 is an apocalyptic number.

12941370 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 12941370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18752580).

12941370 is an abundant number, since it is smaller than the sum of its proper divisors (24563790).

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

12941370 is a wasteful number, since it uses less digits than its factorization.

12941370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 12941370 is about 3597.4115694482. The cubic root of 12941370 is about 234.7794520510.

The spelling of 12941370 in words is "twelve million, nine hundred forty-one thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 270 351 390 405 585 702 810 1053 1170 1229 1755 2106 2458 3510 3687 5265 6145 7374 10530 11061 12290 15977 18435 22122 31954 33183 36870 47931 55305 66366 79885 95862 99549 110610 143793 159770 165915 199098 239655 287586 331830 431379 479310 497745 718965 862758 995490 1294137 1437930 2156895 2588274 4313790 6470685 12941370