Search a number
-
+
1496689168 = 241361179659
BaseRepresentation
bin101100100110101…
…1010101000010000
310212022021200120011
41121031122220100
511031123023133
6404303124304
752042435162
oct13115325020
93768250504
101496689168
116a89297a7
123592a3694
131ab1032c0
14102ac0932
158b5e36cd
hex5935aa10

1496689168 has 80 divisors (see below), whose sum is σ = 3196670400. Its totient is φ = 674634240.

The previous prime is 1496689121. The next prime is 1496689177. The reversal of 1496689168 is 8619866941.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2270823 + ... + 2271481.

It is an arithmetic number, because the mean of its divisors is an integer number (39958380).

Almost surely, 21496689168 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 1496689168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598335200).

1496689168 is an abundant number, since it is smaller than the sum of its proper divisors (1699981232).

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

1496689168 is a wasteful number, since it uses less digits than its factorization.

1496689168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 914 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 58.

The square root of 1496689168 is about 38687.0671930556. The cubic root of 1496689168 is about 1143.8714095770.

The spelling of 1496689168 in words is "one billion, four hundred ninety-six million, six hundred eighty-nine thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 52 61 104 122 179 208 244 358 488 659 716 793 976 1318 1432 1586 2327 2636 2864 3172 4654 5272 6344 8567 9308 10544 10919 12688 17134 18616 21838 34268 37232 40199 43676 68536 80398 87352 117961 137072 141947 160796 174704 235922 283894 321592 471844 522587 567788 643184 943688 1045174 1135576 1533493 1887376 2090348 2271152 3066986 4180696 6133972 7195621 8361392 12267944 14391242 24535888 28782484 57564968 93543073 115129936 187086146 374172292 748344584 1496689168