Search a number
-
+
1495320864 = 253113307449
BaseRepresentation
bin101100100100000…
…1100100100100000
310212012201011121020
41121020030210200
511030300231424
6404213525440
752025006022
oct13110144440
93765634536
101495320864
116a8084774
12358943880
131aaa4455b
14102846012
158b423079
hex5920c920

1495320864 has 96 divisors (see below), whose sum is σ = 3981700800. Its totient is φ = 491323392.

The previous prime is 1495320811. The next prime is 1495320889. The reversal of 1495320864 is 4680235941.

It is a tau number, because it is divible by the number of its divisors (96).

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, 3330112 + ... + 3330560.

It is an arithmetic number, because the mean of its divisors is an integer number (41476050).

Almost surely, 21495320864 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 1495320864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1990850400).

1495320864 is an abundant number, since it is smaller than the sum of its proper divisors (2486379936).

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

1495320864 is a wasteful number, since it uses less digits than its factorization.

1495320864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 1495320864 is about 38669.3788933828. The cubic root of 1495320864 is about 1143.5227197110.

The spelling of 1495320864 in words is "one billion, four hundred ninety-five million, three hundred twenty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 113 226 307 339 449 452 614 678 898 904 921 1228 1347 1356 1796 1808 1842 2456 2694 2712 3592 3616 3684 4912 5388 5424 7184 7368 9824 10776 10848 14368 14736 21552 29472 34691 43104 50737 69382 101474 104073 137843 138764 152211 202948 208146 275686 277528 304422 405896 413529 416292 551372 555056 608844 811792 827058 832584 1102744 1110112 1217688 1623584 1654116 1665168 2205488 2435376 3308232 3330336 4410976 4870752 6616464 13232928 15576259 31152518 46728777 62305036 93457554 124610072 186915108 249220144 373830216 498440288 747660432 1495320864