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1077022872 = 233326318959
BaseRepresentation
bin100000000110010…
…0001000010011000
32210001121102122000
41000030201002120
54201204212442
6254512201000
735455354242
oct10014410230
92701542560
101077022872
11502a51252
12260839160
13142197453
14a307b092
1564847d4c
hex40321098

1077022872 has 64 divisors (see below), whose sum is σ = 3003264000. Its totient is φ = 357623712.

The previous prime is 1077022861. The next prime is 1077022901. The reversal of 1077022872 is 2782207701.

It is a super-2 number, since 2×10770228722 = 2319956533622256768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 47329 + ... + 66287.

It is an arithmetic number, because the mean of its divisors is an integer number (46926000).

Almost surely, 21077022872 is an apocalyptic number.

1077022872 is a gapful number since it is divisible by the number (12) 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 1077022872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501632000).

1077022872 is an abundant number, since it is smaller than the sum of its proper divisors (1926241128).

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

1077022872 is a wasteful number, since it uses less digits than its factorization.

1077022872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19237 (or 19227 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The square root of 1077022872 is about 32818.0266317157. The cubic root of 1077022872 is about 1025.0419564820.

The spelling of 1077022872 in words is "one billion, seventy-seven million, twenty-two thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 263 526 789 1052 1578 2104 2367 3156 4734 6312 7101 9468 14202 18936 18959 28404 37918 56808 56877 75836 113754 151672 170631 227508 341262 455016 511893 682524 1023786 1365048 2047572 4095144 4986217 9972434 14958651 19944868 29917302 39889736 44875953 59834604 89751906 119669208 134627859 179503812 269255718 359007624 538511436 1077022872