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1294849164 = 2237195913751
BaseRepresentation
bin100110100101101…
…1101010010001100
310100020111011010110
41031023131102030
510122440133124
6332253040020
744042015310
oct11513352214
93306434113
101294849164
116049aa384
12301786010
1317835364b
14c3d7db40
1578a24029
hex4d2dd48c

1294849164 has 96 divisors (see below), whose sum is σ = 3696537600. Its totient is φ = 344520000.

The previous prime is 1294849123. The next prime is 1294849177. The reversal of 1294849164 is 4619484921.

It is a super-2 number, since 2×12948491642 = 3353268715022997792, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87289 + ... + 101039.

It is an arithmetic number, because the mean of its divisors is an integer number (38505600).

Almost surely, 21294849164 is an apocalyptic number.

1294849164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1294849164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1848268800).

1294849164 is an abundant number, since it is smaller than the sum of its proper divisors (2401688436).

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

1294849164 is a wasteful number, since it uses less digits than its factorization.

1294849164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13843 (or 13841 counting only the distinct ones).

The product of its digits is 497664, while the sum is 48.

The square root of 1294849164 is about 35984.0126167163. The cubic root of 1294849164 is about 1089.9495428766.

The spelling of 1294849164 in words is "one billion, two hundred ninety-four million, eight hundred forty-nine thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 59 76 84 114 118 133 177 228 236 266 354 399 413 532 708 798 826 1121 1239 1596 1652 2242 2478 3363 4484 4956 6726 7847 13452 13751 15694 23541 27502 31388 41253 47082 55004 82506 94164 96257 165012 192514 261269 288771 385028 522538 577542 783807 811309 1045076 1155084 1567614 1622618 1828883 2433927 3135228 3245236 3657766 4867854 5486649 5679163 7315532 9735708 10973298 11358326 15414871 17037489 21946596 22716652 30829742 34074978 46244613 61659484 68149956 92489226 107904097 184978452 215808194 323712291 431616388 647424582 1294849164