Search a number
-
+
1496640096 = 25327742381
BaseRepresentation
bin101100100110100…
…1110101001100000
310212022012012020200
41121031032221200
511031114440341
6404302105200
752042142130
oct13115165140
93768165220
101496640096
116a88a5946
1235927b200
131ab0b6b73
14102aaaac0
158b5d3db6
hex5934ea60

1496640096 has 72 divisors (see below), whose sum is σ = 4864086864. Its totient is φ = 427610880.

The previous prime is 1496640073. The next prime is 1496640143. The reversal of 1496640096 is 6900466941.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 369175 + ... + 373206.

It is an arithmetic number, because the mean of its divisors is an integer number (67556762).

Almost surely, 21496640096 is an apocalyptic number.

1496640096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1496640096 is an abundant number, since it is smaller than the sum of its proper divisors (3367446768).

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

1496640096 is a wasteful number, since it uses less digits than its factorization.

1496640096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742404 (or 742393 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 1496640096 is about 38686.4329707457. The cubic root of 1496640096 is about 1143.8589080564.

The spelling of 1496640096 in words is "one billion, four hundred ninety-six million, six hundred forty thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 742381 1484762 2227143 2969524 4454286 5196667 5939048 6681429 8908572 10393334 11878096 13362858 15590001 17817144 20786668 23756192 26725716 31180002 35634288 41573336 46770003 53451432 62360004 71268576 83146672 93540006 106902864 124720008 166293344 187080012 213805728 249440016 374160024 498880032 748320048 1496640096