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1021139064 = 2332112694793
BaseRepresentation
bin111100110111010…
…101100001111000
32122011110020110100
4330313111201320
54042402422224
6245154315400
734206352551
oct7467254170
92564406410
101021139064
11484451990
12245b88b60
1313372bbca
1499891328
155e9a9ac9
hex3cdd5878

1021139064 has 96 divisors (see below), whose sum is σ = 3028849200. Its totient is φ = 308221440.

The previous prime is 1021139057. The next prime is 1021139081. The reversal of 1021139064 is 4609311201.

1021139064 is a `hidden beast` number, since 1 + 0 + 211 + 390 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210652 + ... + 215444.

Almost surely, 21021139064 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 1021139064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514424600).

1021139064 is an abundant number, since it is smaller than the sum of its proper divisors (2007710136).

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

1021139064 is a wasteful number, since it uses less digits than its factorization.

1021139064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5085 (or 5078 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1021139064 is about 31955.2666081821. The cubic root of 1021139064 is about 1006.9972785594.

The spelling of 1021139064 in words is "one billion, twenty-one million, one hundred thirty-nine thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 269 396 538 792 807 1076 1614 2152 2421 2959 3228 4793 4842 5918 6456 8877 9586 9684 11836 14379 17754 19172 19368 23672 26631 28758 35508 38344 43137 52723 53262 57516 71016 86274 105446 106524 115032 158169 172548 210892 213048 316338 345096 421784 474507 632676 949014 1265352 1289317 1898028 2578634 3796056 3867951 5157268 7735902 10314536 11603853 14182487 15471804 23207706 28364974 30943608 42547461 46415412 56729948 85094922 92830824 113459896 127642383 170189844 255284766 340379688 510569532 1021139064