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12400290 = 231157
BaseRepresentation
bin101111010011…
…011010100010
3212100000000000
4233103122202
511133302130
61121440430
7210254310
oct57233242
925300000
1012400290
116aaa581
1241a0116
132752266
14190b0b0
15114e260
hexbd36a2

12400290 has 96 divisors (see below), whose sum is σ = 38263680. Its totient is φ = 2834352.

The previous prime is 12400247. The next prime is 12400303. The reversal of 12400290 is 9200421.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1771467 + ... + 1771473.

It is an arithmetic number, because the mean of its divisors is an integer number (398580).

Almost surely, 212400290 is an apocalyptic number.

12400290 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 12400290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19131840).

12400290 is an abundant number, since it is smaller than the sum of its proper divisors (25863390).

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

12400290 is an frugal number, since it uses more digits than its factorization.

12400290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 12400290 is about 3521.4045493240. The cubic root of 12400290 is about 231.4607098225.

The spelling of 12400290 in words is "twelve million, four hundred thousand, two hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 243 270 315 378 405 486 567 630 729 810 945 1134 1215 1458 1701 1890 2187 2430 2835 3402 3645 4374 5103 5670 6561 7290 8505 10206 10935 13122 15309 17010 19683 21870 25515 30618 32805 39366 45927 51030 59049 65610 76545 91854 98415 118098 137781 153090 177147 196830 229635 275562 295245 354294 413343 459270 590490 688905 826686 885735 1240029 1377810 1771470 2066715 2480058 4133430 6200145 12400290