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1087373664 = 253213359809
BaseRepresentation
bin100000011010000…
…0000000101100000
32210210002022020200
41000310000011200
54211331424124
6255522105200
735642344416
oct10064000540
92723068220
101087373664
11508880a23
122641ab200
1314437c890
14a45b32b6
15656debc9
hex40d00160

1087373664 has 144 divisors (see below), whose sum is σ = 3343485600. Its totient is φ = 333232128.

The previous prime is 1087373663. The next prime is 1087373713. The reversal of 1087373664 is 4663737801.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1087373663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1343692 + ... + 1344500.

It is an arithmetic number, because the mean of its divisors is an integer number (23218650).

Almost surely, 21087373664 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 1087373664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671742800).

1087373664 is an abundant number, since it is smaller than the sum of its proper divisors (2256111936).

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

1087373664 is a wasteful number, since it uses less digits than its factorization.

1087373664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 1087373664 is about 32975.3493385589. The cubic root of 1087373664 is about 1028.3152348705.

The spelling of 1087373664 in words is "one billion, eighty-seven million, three hundred seventy-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 359 416 468 624 718 809 936 1077 1248 1436 1618 1872 2154 2427 2872 3231 3236 3744 4308 4667 4854 5744 6462 6472 7281 8616 9334 9708 10517 11488 12924 12944 14001 14562 17232 18668 19416 21034 25848 25888 28002 29124 31551 34464 37336 38832 42003 42068 51696 56004 58248 63102 74672 77664 84006 84136 94653 103392 112008 116496 126204 149344 168012 168272 189306 224016 232992 252408 290431 336024 336544 378612 448032 504816 580862 672048 757224 871293 1009632 1161724 1344096 1514448 1742586 2323448 2613879 3028896 3485172 3775603 4646896 5227758 6970344 7551206 9293792 10455516 11326809 13940688 15102412 20911032 22653618 27881376 30204824 33980427 41822064 45307236 60409648 67960854 83644128 90614472 120819296 135921708 181228944 271843416 362457888 543686832 1087373664