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1290040104 = 233176075209
BaseRepresentation
bin100110011100100…
…0111001100101000
310022220102211100010
41030321013030220
510120222240404
6332002011520
743653105603
oct11471071450
93286384303
101290040104
11602215251
12300046ba0
1317735b752
14c348b33a
15783c4189
hex4ce47328

1290040104 has 64 divisors (see below), whose sum is σ = 3421094400. Its totient is φ = 403974144.

The previous prime is 1290040069. The next prime is 1290040117. The reversal of 1290040104 is 4010400921.

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, 245052 + ... + 250260.

It is an arithmetic number, because the mean of its divisors is an integer number (53454600).

Almost surely, 21290040104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1290040104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1710547200).

1290040104 is an abundant number, since it is smaller than the sum of its proper divisors (2131054296).

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

1290040104 is a wasteful number, since it uses less digits than its factorization.

1290040104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5842 (or 5838 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 1290040104 is about 35917.1282816430. The cubic root of 1290040104 is about 1088.5985141377.

The spelling of 1290040104 in words is "one billion, two hundred ninety million, forty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 607 1214 1821 2428 3642 4856 5209 7284 10319 10418 14568 15627 20638 20836 30957 31254 41276 41672 61914 62508 82552 88553 123828 125016 177106 247656 265659 354212 531318 708424 1062636 2125272 3161863 6323726 9485589 12647452 18971178 25294904 37942356 53751671 75884712 107503342 161255013 215006684 322510026 430013368 645020052 1290040104