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1072851968 = 2103133797
BaseRepresentation
bin111111111100100…
…110110000000000
32202202202112020002
4333330212300000
54144122230333
6254242535132
735405043206
oct7774466000
92682675202
101072851968
11500662621
1225b3674a8
13141366b66
14a26b3076
15642c20e8
hex3ff26c00

1072851968 has 44 divisors (see below), whose sum is σ = 2213904192. Its totient is φ = 519106560.

The previous prime is 1072851959. The next prime is 1072851973. The reversal of 1072851968 is 8691582701.

1072851968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10728519682 = 2302022690482946048, which contains 22 as substring.

It is a zygodrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14846 + ... + 48642.

Almost surely, 21072851968 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 1072851968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106952096).

1072851968 is an abundant number, since it is smaller than the sum of its proper divisors (1141052224).

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

1072851968 is an equidigital number, since it uses as much as digits as its factorization.

1072851968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33848 (or 33830 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 47.

The square root of 1072851968 is about 32754.4190606397. The cubic root of 1072851968 is about 1023.7170442156.

The spelling of 1072851968 in words is "one billion, seventy-two million, eight hundred fifty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 512 992 1024 1984 3968 7936 15872 31744 33797 67594 135188 270376 540752 1047707 1081504 2095414 2163008 4190828 4326016 8381656 8652032 16763312 17304064 33526624 34608128 67053248 134106496 268212992 536425984 1072851968