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1152399136 = 25741179701
BaseRepresentation
bin100010010110000…
…0011011100100000
32222022102221102111
41010230003130200
54330003233021
6310203525104
740362142150
oct10454033440
92868387374
101152399136
11541554589
12281b29794
131549990a5
14ad09c760
156b2868e1
hex44b03720

1152399136 has 96 divisors (see below), whose sum is σ = 2674788480. Its totient is φ = 478464000.

The previous prime is 1152399119. The next prime is 1152399137. The reversal of 1152399136 is 6319932511.

It is not an unprimeable number, because it can be changed into a prime (1152399137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1643586 + ... + 1644286.

It is an arithmetic number, because the mean of its divisors is an integer number (27862380).

Almost surely, 21152399136 is an apocalyptic number.

1152399136 is a gapful number since it is divisible by the number (16) 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 1152399136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337394240).

1152399136 is an abundant number, since it is smaller than the sum of its proper divisors (1522389344).

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

1152399136 is a wasteful number, since it uses less digits than its factorization.

1152399136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 930 counting only the distinct ones).

The product of its digits is 43740, while the sum is 40.

The square root of 1152399136 is about 33947.0048163310. The cubic root of 1152399136 is about 1048.4176122499.

The spelling of 1152399136 in words is "one billion, one hundred fifty-two million, three hundred ninety-nine thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 82 112 164 179 224 287 328 358 574 656 701 716 1148 1253 1312 1402 1432 2296 2506 2804 2864 4592 4907 5012 5608 5728 7339 9184 9814 10024 11216 14678 19628 20048 22432 28741 29356 39256 40096 51373 57482 58712 78512 102746 114964 117424 125479 157024 201187 205492 229928 234848 250958 402374 410984 459856 501916 804748 821968 878353 919712 1003832 1609496 1643936 1756706 2007664 3218992 3513412 4015328 5144639 6437984 7026824 10289278 14053648 20578556 28107296 36012473 41157112 72024946 82314224 144049892 164628448 288099784 576199568 1152399136