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1087258432 = 261319109631
BaseRepresentation
bin100000011001110…
…0011111101000000
32210202212110011211
41000303203331000
54211314232212
6255515415504
735641354441
oct10063437500
92722773154
101087258432
11508802397
12264154594
1314433c2b0
14a45832c8
15656ba9a7
hex40ce3f40

1087258432 has 112 divisors (see below), whose sum is σ = 2472131200. Its totient is φ = 470292480.

The previous prime is 1087258391. The next prime is 1087258453. The reversal of 1087258432 is 2348527801.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1722757 + ... + 1723387.

It is an arithmetic number, because the mean of its divisors is an integer number (22072600).

Almost surely, 21087258432 is an apocalyptic number.

1087258432 is the 26923-rd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1087258432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236065600).

1087258432 is an abundant number, since it is smaller than the sum of its proper divisors (1384872768).

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

1087258432 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (1087258431) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (784).

1087258432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The square root of 1087258432 is about 32973.6020476987. The cubic root of 1087258432 is about 1028.2789091158.

The spelling of 1087258432 in words is "one billion, eighty-seven million, two hundred fifty-eight thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 109 152 208 218 247 304 416 436 494 608 631 832 872 988 1216 1262 1417 1744 1976 2071 2524 2834 3488 3952 4142 5048 5668 6976 7904 8203 8284 10096 11336 11989 15808 16406 16568 20192 22672 23978 26923 32812 33136 40384 45344 47956 53846 65624 66272 68779 90688 95912 107692 131248 132544 137558 155857 191824 215384 262496 275116 311714 383648 430768 524992 550232 623428 767296 861536 894127 1100464 1246856 1306801 1723072 1788254 2200928 2493712 2613602 3576508 4401856 4987424 5227204 7153016 9974848 10454408 14306032 16988413 20908816 28612064 33976826 41817632 57224128 67953652 83635264 135907304 271814608 543629216 1087258432