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1145660112 = 24345914983
BaseRepresentation
bin100010001001001…
…0110001011010000
32221211202120020000
41010102112023100
54321242110422
6305403250000
740250643642
oct10422261320
92854676200
101145660112
11538771443
1227b819900
131534798bc
14ac226892
156a8a4cac
hex444962d0

1145660112 has 100 divisors (see below), whose sum is σ = 3372299040. Its totient is φ = 375388992.

The previous prime is 1145660111. The next prime is 1145660129. The reversal of 1145660112 is 2110665411.

1145660112 is a `hidden beast` number, since 1 + 1 + 4 + 56 + 601 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1145660111) 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 19 ways as a sum of consecutive naturals, for example, 68973 + ... + 83955.

Almost surely, 21145660112 is an apocalyptic number.

1145660112 is a gapful number since it is divisible by the number (12) 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 1145660112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1686149520).

1145660112 is an abundant number, since it is smaller than the sum of its proper divisors (2226638928).

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

1145660112 is a wasteful number, since it uses less digits than its factorization.

1145660112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15062 (or 15047 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1145660112 is about 33847.6012739455. The cubic root of 1145660112 is about 1046.3699627351.

The spelling of 1145660112 in words is "one billion, one hundred forty-five million, six hundred sixty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 59 72 81 108 118 144 162 177 216 236 324 354 432 472 531 648 708 944 1062 1296 1416 1593 2124 2832 3186 4248 4779 6372 8496 9558 12744 14983 19116 25488 29966 38232 44949 59932 76464 89898 119864 134847 179796 239728 269694 359592 404541 539388 719184 809082 883997 1078776 1213623 1618164 1767994 2157552 2427246 2651991 3236328 3535988 4854492 5303982 6472656 7071976 7955973 9708984 10607964 14143952 15911946 19417968 21215928 23867919 31823892 42431856 47735838 63647784 71603757 95471676 127295568 143207514 190943352 286415028 381886704 572830056 1145660112