Search a number
-
+
1145974896 = 2432111742557
BaseRepresentation
bin100010001001110…
…0011000001110000
32221212100120000200
41010103203001300
54321332144041
6305414115200
740253424453
oct10423430160
92855316020
101145974896
115389669a0
1227b94bb00
13153559c71
14ac2a949a
156a9181b6
hex444e3070

1145974896 has 120 divisors (see below), whose sum is σ = 3704588784. Its totient is φ = 326830080.

The previous prime is 1145974891. The next prime is 1145974909. The reversal of 1145974896 is 6984795411.

1145974896 is a `hidden beast` number, since 1 + 1 + 4 + 597 + 48 + 9 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1145974891) 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 23 ways as a sum of consecutive naturals, for example, 5650 + ... + 48206.

Almost surely, 21145974896 is an apocalyptic number.

1145974896 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 1145974896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1852294392).

1145974896 is an abundant number, since it is smaller than the sum of its proper divisors (2558613888).

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

1145974896 is a wasteful number, since it uses less digits than its factorization.

1145974896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42599 (or 42590 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The square root of 1145974896 is about 33852.2509739013. The cubic root of 1145974896 is about 1046.4657882353.

The spelling of 1145974896 in words is "one billion, one hundred forty-five million, nine hundred seventy-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 33 34 36 44 48 51 66 68 72 88 99 102 132 136 144 153 176 187 198 204 264 272 306 374 396 408 528 561 612 748 792 816 1122 1224 1496 1584 1683 2244 2448 2992 3366 4488 6732 8976 13464 26928 42557 85114 127671 170228 255342 340456 383013 468127 510684 680912 723469 766026 936254 1021368 1404381 1446938 1532052 1872508 2042736 2170407 2808762 2893876 3064104 3745016 4213143 4340814 5617524 5787752 6128208 6511221 7490032 7958159 8426286 8681628 11235048 11575504 13022442 15916318 16852572 17363256 22470096 23874477 26044884 31832636 33705144 34726512 47748954 52089768 63665272 67410288 71623431 95497908 104179536 127330544 143246862 190995816 286493724 381991632 572987448 1145974896