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1026208768 = 21013127607
BaseRepresentation
bin111101001010101…
…011010000000000
32122111222210210011
4331022223100000
54100202140033
6245455114304
734300426204
oct7512532000
92574883704
101026208768
114872a4922
12247812994
131347b5630
149a410b04
156015bccd
hex3d2ab400

1026208768 has 88 divisors (see below), whose sum is σ = 2230280192. Its totient is φ = 469131264.

The previous prime is 1026208751. The next prime is 1026208787. The reversal of 1026208768 is 8678026201.

It is a self number, because there is not a number n which added to its sum of digits gives 1026208768.

It is a congruent number.

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, 1690321 + ... + 1690927.

Almost surely, 21026208768 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 1026208768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115140096).

1026208768 is an abundant number, since it is smaller than the sum of its proper divisors (1204071424).

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

1026208768 is a wasteful number, since it uses less digits than its factorization.

1026208768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 1026208768 is about 32034.4934094485. The cubic root of 1026208768 is about 1008.6610260633.

The spelling of 1026208768 in words is "one billion, twenty-six million, two hundred eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 127 128 208 254 256 416 508 512 607 832 1016 1024 1214 1651 1664 2032 2428 3302 3328 4064 4856 6604 6656 7891 8128 9712 13208 13312 15782 16256 19424 26416 31564 32512 38848 52832 63128 65024 77089 77696 105664 126256 130048 154178 155392 211328 252512 308356 310784 422656 505024 616712 621568 845312 1002157 1010048 1233424 1690624 2004314 2020096 2466848 4008628 4040192 4933696 8017256 8080384 9867392 16034512 19734784 32069024 39469568 64138048 78939136 128276096 256552192 513104384 1026208768