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1145013024 = 25331715419
BaseRepresentation
bin100010000111111…
…1000001100100000
32221210112200120210
41010033320030200
54321110404044
6305341334120
740242310251
oct10417701440
92853480523
101145013024
1153836a261
1227b567340
131532b11cc
14ac0d8b28
156a7c81b9
hex443f8320

1145013024 has 96 divisors (see below), whose sum is σ = 3146895360. Its totient is φ = 364089600.

The previous prime is 1145012893. The next prime is 1145013029. The reversal of 1145013024 is 4203105411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×11450130242 = 2622109650259249152, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1145013029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208587 + ... + 214005.

It is an arithmetic number, because the mean of its divisors is an integer number (32780160).

Almost surely, 21145013024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1145013024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573447680).

1145013024 is an abundant number, since it is smaller than the sum of its proper divisors (2001882336).

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

1145013024 is a wasteful number, since it uses less digits than its factorization.

1145013024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5534 (or 5526 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1145013024 is about 33838.0410780530. The cubic root of 1145013024 is about 1046.1729232126.

Adding to 1145013024 its reverse (4203105411), we get a palindrome (5348118435).

The spelling of 1145013024 in words is "one billion, one hundred forty-five million, thirteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 71 93 96 124 142 186 213 248 284 372 426 496 568 744 852 992 1136 1488 1704 2201 2272 2976 3408 4402 5419 6603 6816 8804 10838 13206 16257 17608 21676 26412 32514 35216 43352 52824 65028 70432 86704 105648 130056 167989 173408 211296 260112 335978 384749 503967 520224 671956 769498 1007934 1154247 1343912 1538996 2015868 2308494 2687824 3077992 4031736 4616988 5375648 6155984 8063472 9233976 11927219 12311968 16126944 18467952 23854438 35781657 36935904 47708876 71563314 95417752 143126628 190835504 286253256 381671008 572506512 1145013024