Search a number
-
+
1148052672 = 263213153319
BaseRepresentation
bin100010001101101…
…1110010011000000
32222000021010012100
41010123132103000
54322400141142
6305530430400
740310200224
oct10433362300
92860233170
101148052672
1153a055a68
12280592400
13153b06910
14ac68a784
156abc8b4c
hex446de4c0

1148052672 has 84 divisors (see below), whose sum is σ = 3543838480. Its totient is φ = 353244672.

The previous prime is 1148052649. The next prime is 1148052673. The reversal of 1148052672 is 2762508411.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1148052673) 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 11 ways as a sum of consecutive naturals, for example, 69172 + ... + 84147.

Almost surely, 21148052672 is an apocalyptic number.

1148052672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1148052672 is an abundant number, since it is smaller than the sum of its proper divisors (2395785808).

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

1148052672 is a wasteful number, since it uses less digits than its factorization.

1148052672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153350 (or 153337 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1148052672 is about 33882.9259657427. The cubic root of 1148052672 is about 1047.0978581396.

The spelling of 1148052672 in words is "one billion, one hundred forty-eight million, fifty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7488 153319 306638 459957 613276 919914 1226552 1379871 1839828 1993147 2453104 2759742 3679656 3986294 4906208 5519484 5979441 7359312 7972588 9812416 11038968 11958882 14718624 15945176 17938323 22077936 23917764 29437248 31890352 35876646 44155872 47835528 63780704 71753292 88311744 95671056 127561408 143506584 191342112 287013168 382684224 574026336 1148052672