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1292016090 = 23543067203
BaseRepresentation
bin100110100000010…
…1001100111011010
310100001011012212210
41031000221213122
510121224003330
6332112215550
744005645521
oct11500514732
93301135783
101292016090
116033448a2
1230083a5b6
131778a0c81
14c38434b8
15786648b0
hex4d0299da

1292016090 has 16 divisors (see below), whose sum is σ = 3100838688. Its totient is φ = 344537616.

The previous prime is 1292016083. The next prime is 1292016107. The reversal of 1292016090 is 906102921.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 43067203 = 1292016090 / (1 + 2 + 9 + 2 + 0 + 1 + 6 + 0 + 9 + 0).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21533572 + ... + 21533631.

It is an arithmetic number, because the mean of its divisors is an integer number (193802418).

Almost surely, 21292016090 is an apocalyptic number.

1292016090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1292016090 is an abundant number, since it is smaller than the sum of its proper divisors (1808822598).

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

1292016090 is a wasteful number, since it uses less digits than its factorization.

1292016090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43067213.

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 1292016090 is about 35944.6253284131. The cubic root of 1292016090 is about 1089.1540415914.

The spelling of 1292016090 in words is "one billion, two hundred ninety-two million, sixteen thousand, ninety".

Divisors: 1 2 3 5 6 10 15 30 43067203 86134406 129201609 215336015 258403218 430672030 646008045 1292016090