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1146356440 = 235317511231
BaseRepresentation
bin100010001010100…
…0000001011011000
32221220001221101221
41010111000023120
54321431401230
6305430221424
740256604025
oct10425001330
92856057357
101146356440
115390a7619
1227bab4874
13153661828
14ac36854c
156a99127a
hex445402d8

1146356440 has 64 divisors (see below), whose sum is σ = 2668216320. Its totient is φ = 442800000.

The previous prime is 1146356417. The next prime is 1146356521. The reversal of 1146356440 is 446536411.

It is a junction number, because it is equal to n+sod(n) for n = 1146356396 and 1146356405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 930625 + ... + 931855.

It is an arithmetic number, because the mean of its divisors is an integer number (41690880).

Almost surely, 21146356440 is an apocalyptic number.

1146356440 is a gapful number since it is divisible by the number (10) 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 1146356440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334108160).

1146356440 is an abundant number, since it is smaller than the sum of its proper divisors (1521859880).

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

1146356440 is a wasteful number, since it uses less digits than its factorization.

1146356440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2024 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 1146356440 is about 33857.8859351850. The cubic root of 1146356440 is about 1046.5819130709.

The spelling of 1146356440 in words is "one billion, one hundred forty-six million, three hundred fifty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 751 1231 1240 1502 2462 3004 3755 4924 6008 6155 7510 9848 12310 15020 23281 24620 30040 38161 46562 49240 76322 93124 116405 152644 186248 190805 232810 305288 381610 465620 763220 924481 931240 1526440 1848962 3697924 4622405 7395848 9244810 18489620 28658911 36979240 57317822 114635644 143294555 229271288 286589110 573178220 1146356440