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12629142 = 233271863
BaseRepresentation
bin110000001011…
…010010010110
3212202121221000
4300023102112
511213113032
61130404130
7212226441
oct60132226
925677830
1012629142
117146509
124290646
132802486
14196a658
151196e7c
hexc0b496

12629142 has 32 divisors (see below), whose sum is σ = 28200960. Its totient is φ = 4189320.

The previous prime is 12629131. The next prime is 12629153. The reversal of 12629142 is 24192621.

It is an interprime number because it is at equal distance from previous prime (12629131) and next prime (12629153).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14203 + ... + 15065.

It is an arithmetic number, because the mean of its divisors is an integer number (881280).

Almost surely, 212629142 is an apocalyptic number.

12629142 is an abundant number, since it is smaller than the sum of its proper divisors (15571818).

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

12629142 is a wasteful number, since it uses less digits than its factorization.

12629142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1139 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 12629142 is about 3553.7504132958. The cubic root of 12629142 is about 232.8759370724.

It can be divided in two parts, 1262 and 9142, that added together give a square (10404 = 1022).

The spelling of 12629142 in words is "twelve million, six hundred twenty-nine thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 271 542 813 863 1626 1726 2439 2589 4878 5178 7317 7767 14634 15534 23301 46602 233873 467746 701619 1403238 2104857 4209714 6314571 12629142