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1602256896 = 215331811
BaseRepresentation
bin101111110000000…
…1000000000000000
311010122221002021000
41133200020000000
511240134210041
6422553532000
754463646622
oct13740100000
94118832230
101602256896
11752483359
12388714000
131c6c46106
14112b20c12
15959e7bb6
hex5f808000

1602256896 has 128 divisors (see below), whose sum is σ = 4749976800. Its totient is φ = 533790720.

The previous prime is 1602256891. The next prime is 1602256897. The reversal of 1602256896 is 6986522061.

1602256896 is a `hidden beast` number, since 1 + 60 + 22 + 568 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (1602256891) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 883831 + ... + 885641.

Almost surely, 21602256896 is an apocalyptic number.

1602256896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1602256896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2374988400).

1602256896 is an abundant number, since it is smaller than the sum of its proper divisors (3147719904).

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

1602256896 is an frugal number, since it uses more digits than its factorization.

1602256896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1850 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 1602256896 is about 40028.2012586127. The cubic root of 1602256896 is about 1170.1567705776.

The spelling of 1602256896 in words is "one billion, six hundred two million, two hundred fifty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 1811 2048 2304 3072 3456 3622 4096 4608 5433 6144 6912 7244 8192 9216 10866 12288 13824 14488 16299 16384 18432 21732 24576 27648 28976 32598 32768 36864 43464 48897 49152 55296 57952 65196 73728 86928 97794 98304 110592 115904 130392 147456 173856 195588 221184 231808 260784 294912 347712 391176 442368 463616 521568 695424 782352 884736 927232 1043136 1390848 1564704 1854464 2086272 2781696 3129408 3708928 4172544 5563392 6258816 7417856 8345088 11126784 12517632 14835712 16690176 22253568 25035264 29671424 33380352 44507136 50070528 59342848 66760704 89014272 100141056 133521408 178028544 200282112 267042816 400564224 534085632 801128448 1602256896