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1145000400 = 24352954167
BaseRepresentation
bin100010000111111…
…0101000111010000
32221210112001021020
41010033311013100
54321110003100
6305341155440
740242225405
oct10417650720
92853461236
101145000400
11538360825
1227b55bb80
131532a853b
14ac0d42ac
156a7c45a0
hex443f51d0

1145000400 has 60 divisors (see below), whose sum is σ = 3667821792. Its totient is φ = 305333120.

The previous prime is 1145000357. The next prime is 1145000447. The reversal of 1145000400 is 40005411.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×11450004002 = 2622051832000320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1145000400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 475884 + ... + 478283.

Almost surely, 21145000400 is an apocalyptic number.

1145000400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1145000400 is an abundant number, since it is smaller than the sum of its proper divisors (2522821392).

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

1145000400 is a wasteful number, since it uses less digits than its factorization.

1145000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954188 (or 954177 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 1145000400 is about 33837.8545419180. The cubic root of 1145000400 is about 1046.1690784425.

Adding to 1145000400 its reverse (40005411), we get a palindrome (1185005811).

The spelling of 1145000400 in words is "one billion, one hundred forty-five million, four hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 954167 1908334 2862501 3816668 4770835 5725002 7633336 9541670 11450004 14312505 15266672 19083340 22900008 23854175 28625010 38166680 45800016 47708350 57250020 71562525 76333360 95416700 114500040 143125050 190833400 229000080 286250100 381666800 572500200 1145000400