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1145516340 = 223531615869
BaseRepresentation
bin100010001000111…
…0011000100110100
32221211111021000010
41010101303010310
54321223010330
6305400220220
740246504533
oct10421630464
92854437003
101145516340
11538683421
1227b76a670
13153429327
14ac1ca31a
156a8773b0
hex44473134

1145516340 has 48 divisors (see below), whose sum is σ = 3310917120. Its totient is φ = 295616640.

The previous prime is 1145516299. The next prime is 1145516347. The reversal of 1145516340 is 436155411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1145516298 and 1145516307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1145516347) 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, 306075 + ... + 309794.

It is an arithmetic number, because the mean of its divisors is an integer number (68977440).

Almost surely, 21145516340 is an apocalyptic number.

1145516340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1145516340 is an abundant number, since it is smaller than the sum of its proper divisors (2165400780).

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

1145516340 is a wasteful number, since it uses less digits than its factorization.

1145516340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615912 (or 615910 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 1145516340 is about 33845.4773935898. The cubic root of 1145516340 is about 1046.3261903009.

The spelling of 1145516340 in words is "one billion, one hundred forty-five million, five hundred sixteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 615869 1231738 1847607 2463476 3079345 3695214 6158690 7390428 9238035 12317380 18476070 19091939 36952140 38183878 57275817 76367756 95459695 114551634 190919390 229103268 286379085 381838780 572758170 1145516340