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1152111296 = 26719912923
BaseRepresentation
bin100010010101011…
…1101001011000000
32222021220022120202
41010222331023000
54324420030141
6310153424332
740356533030
oct10452751300
92867808522
101152111296
115413782a6
12281a0b0a8
131548c807b
14ad0258c0
156b22b49b
hex44abd2c0

1152111296 has 56 divisors (see below), whose sum is σ = 2626156800. Its totient is φ = 491242752.

The previous prime is 1152111293. The next prime is 1152111299. The reversal of 1152111296 is 6921112511.

It is an interprime number because it is at equal distance from previous prime (1152111293) and next prime (1152111299).

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (1152111293) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 82691 + ... + 95613.

Almost surely, 21152111296 is an apocalyptic number.

1152111296 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 1152111296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313078400).

1152111296 is an abundant number, since it is smaller than the sum of its proper divisors (1474045504).

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

1152111296 is a wasteful number, since it uses less digits than its factorization.

1152111296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13141 (or 13131 counting only the distinct ones).

The product of its digits is 1080, while the sum is 29.

The square root of 1152111296 is about 33942.7650022799. The cubic root of 1152111296 is about 1048.3303156282.

The spelling of 1152111296 in words is "one billion, one hundred fifty-two million, one hundred eleven thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 199 224 398 448 796 1393 1592 2786 3184 5572 6368 11144 12736 12923 22288 25846 44576 51692 89152 90461 103384 180922 206768 361844 413536 723688 827072 1447376 2571677 2894752 5143354 5789504 10286708 18001739 20573416 36003478 41146832 72006956 82293664 144013912 164587328 288027824 576055648 1152111296