Search a number
-
+
1290346896 = 243124921523
BaseRepresentation
bin100110011101001…
…0010000110010000
310022221000102011210
41030322102012100
510120312100041
6332012340120
743655524206
oct11472220620
93287012153
101290346896
116024047a3
12300174640
13177438297
14c352b076
1578435016
hex4ce92190

1290346896 has 40 divisors (see below), whose sum is σ = 3336220000. Its totient is φ = 429751296.

The previous prime is 1290346877. The next prime is 1290346927. The reversal of 1290346896 is 6986430921.

It is a super-2 number, since 2×12903468962 = 3329990224033669632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 49191 + ... + 70713.

It is an arithmetic number, because the mean of its divisors is an integer number (83405500).

Almost surely, 21290346896 is an apocalyptic number.

1290346896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1290346896 is an abundant number, since it is smaller than the sum of its proper divisors (2045873104).

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

1290346896 is a wasteful number, since it uses less digits than its factorization.

1290346896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22783 (or 22777 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The square root of 1290346896 is about 35921.3988591758. The cubic root of 1290346896 is about 1088.6848026293.

The spelling of 1290346896 in words is "one billion, two hundred ninety million, three hundred forty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 1249 2498 3747 4996 7494 9992 14988 19984 21523 29976 43046 59952 64569 86092 129138 172184 258276 344368 516552 1033104 26882227 53764454 80646681 107528908 161293362 215057816 322586724 430115632 645173448 1290346896