Search a number
-
+
1145005330 = 25737592127
BaseRepresentation
bin100010000111111…
…0110010100010010
32221210112022000211
41010033312110102
54321110132310
6305341234334
740242245650
oct10417662422
92853468024
101145005330
115383644a7
1227b5629aa
131532aa861
14ac0d5dd0
156a7c5c8a
hex443f6512

1145005330 has 96 divisors (see below), whose sum is σ = 2480173056. Its totient is φ = 372532608.

The previous prime is 1145005321. The next prime is 1145005331. The reversal of 1145005330 is 335005411.

It is a happy number.

It is a super-2 number, since 2×11450053302 = 2622074411456817800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1145005331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9015727 + ... + 9015853.

It is an arithmetic number, because the mean of its divisors is an integer number (25835136).

Almost surely, 21145005330 is an apocalyptic number.

1145005330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1145005330 is an abundant number, since it is smaller than the sum of its proper divisors (1335167726).

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

1145005330 is a wasteful number, since it uses less digits than its factorization.

1145005330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 1145005330 is about 33837.9273892477. The cubic root of 1145005330 is about 1046.1705799285.

The spelling of 1145005330 in words is "one billion, one hundred forty-five million, five thousand, three hundred thirty".

Divisors: 1 2 5 7 10 14 35 37 59 70 74 118 127 185 254 259 295 370 413 518 590 635 826 889 1270 1295 1778 2065 2183 2590 3481 4130 4366 4445 4699 6962 7493 8890 9398 10915 14986 15281 17405 21830 23495 24367 30562 32893 34810 37465 46990 48734 52451 65786 74930 76405 104902 121835 128797 152810 164465 243670 257594 262255 277241 328930 442087 524510 554482 643985 884174 901579 1287970 1386205 1803158 1940687 2210435 2772410 3094609 3881374 4420870 4507895 6189218 9015790 9703435 15473045 16357219 19406870 30946090 32714438 81786095 114500533 163572190 229001066 572502665 1145005330