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1145930600 = 235237315361
BaseRepresentation
bin100010001001101…
…1000001101101000
32221212021022021002
41010103120031220
54321324234400
6305413134132
740253151353
oct10423301550
92855238232
101145930600
11538936691
1227b92a348
13153542a59
14ac29729a
156a909ed5
hex444d8368

1145930600 has 48 divisors (see below), whose sum is σ = 2671605420. Its totient is φ = 457113600.

The previous prime is 1145930579. The next prime is 1145930647. The reversal of 1145930600 is 60395411.

It can be written as a sum of positive squares in 6 ways, for example, as 595652836 + 550277764 = 24406^2 + 23458^2 .

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, 66920 + ... + 82280.

Almost surely, 21145930600 is an apocalyptic number.

1145930600 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 1145930600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335802710).

1145930600 is an abundant number, since it is smaller than the sum of its proper divisors (1525674820).

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

1145930600 is a wasteful number, since it uses less digits than its factorization.

1145930600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15750 (or 15741 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 1145930600 is about 33851.5967127106. The cubic root of 1145930600 is about 1046.4523048551.

The spelling of 1145930600 in words is "one billion, one hundred forty-five million, nine hundred thirty thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 373 746 1492 1865 2984 3730 7460 9325 14920 15361 18650 30722 37300 61444 74600 76805 122888 153610 307220 384025 614440 768050 1536100 3072200 5729653 11459306 22918612 28648265 45837224 57296530 114593060 143241325 229186120 286482650 572965300 1145930600