Search a number
-
+
1145257152 = 263133712401
BaseRepresentation
bin100010001000011…
…0011110011000000
32221211000002110120
41010100303303000
54321141212102
6305350500240
740244345064
oct10420636300
92854002416
101145257152
11538516716
1227b664680
13153368370
14ac15daa4
156a8256bc
hex44433cc0

1145257152 has 112 divisors (see below), whose sum is σ = 3351714912. Its totient is φ = 342835200.

The previous prime is 1145257133. The next prime is 1145257159. The reversal of 1145257152 is 2517525411.

It is a super-2 number, since 2×11452571522 = 2623227888414302208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1145257159) 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, 86152 + ... + 98552.

It is an arithmetic number, because the mean of its divisors is an integer number (29926026).

Almost surely, 21145257152 is an apocalyptic number.

1145257152 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 1145257152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675857456).

1145257152 is an abundant number, since it is smaller than the sum of its proper divisors (2206457760).

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

1145257152 is a wasteful number, since it uses less digits than its factorization.

1145257152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12466 (or 12456 counting only the distinct ones).

The product of its digits is 14000, while the sum is 33.

The square root of 1145257152 is about 33841.6481868127. The cubic root of 1145257152 is about 1046.2472693696.

The spelling of 1145257152 in words is "one billion, one hundred forty-five million, two hundred fifty-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 37 39 48 52 64 74 78 96 104 111 148 156 192 208 222 296 312 416 444 481 592 624 832 888 962 1184 1248 1443 1776 1924 2368 2496 2886 3552 3848 5772 7104 7696 11544 12401 15392 23088 24802 30784 37203 46176 49604 74406 92352 99208 148812 161213 198416 297624 322426 396832 458837 483639 595248 644852 793664 917674 967278 1190496 1289704 1376511 1835348 1934556 2380992 2579408 2753022 3670696 3869112 5158816 5506044 5964881 7341392 7738224 10317632 11012088 11929762 14682784 15476448 17894643 22024176 23859524 29365568 30952896 35789286 44048352 47719048 71578572 88096704 95438096 143157144 190876192 286314288 381752384 572628576 1145257152