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1145265464 = 23741736833
BaseRepresentation
bin100010001000011…
…0101110100111000
32221211000111212102
41010100311310320
54321141443324
6305351002532
740244411240
oct10420656470
92854014772
101145265464
11538521992
1227b669448
1315336c095
14ac162b20
156a827dae
hex44435d38

1145265464 has 64 divisors (see below), whose sum is σ = 2548808640. Its totient is φ = 472227840.

The previous prime is 1145265463. The next prime is 1145265479. The reversal of 1145265464 is 4645625411.

It is a happy number.

It is a super-2 number, since 2×11452654642 = 2623265966062270592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1145265463) 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 15 ways as a sum of consecutive naturals, for example, 164192 + ... + 171024.

It is an arithmetic number, because the mean of its divisors is an integer number (39825135).

Almost surely, 21145265464 is an apocalyptic number.

1145265464 is a gapful number since it is divisible by the number (14) 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 1145265464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274404320).

1145265464 is an abundant number, since it is smaller than the sum of its proper divisors (1403543176).

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

1145265464 is a wasteful number, since it uses less digits than its factorization.

1145265464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6960 (or 6956 counting only the distinct ones).

The product of its digits is 115200, while the sum is 38.

The square root of 1145265464 is about 33841.7709938472. The cubic root of 1145265464 is about 1046.2498005002.

The spelling of 1145265464 in words is "one billion, one hundred forty-five million, two hundred sixty-five thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 41 56 73 82 146 164 287 292 328 511 574 584 1022 1148 2044 2296 2993 4088 5986 6833 11972 13666 20951 23944 27332 41902 47831 54664 83804 95662 167608 191324 280153 382648 498809 560306 997618 1120612 1961071 1995236 2241224 3491663 3922142 3990472 6983326 7844284 13966652 15688568 20451169 27933304 40902338 81804676 143158183 163609352 286316366 572632732 1145265464