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1354560030 = 233539712637
BaseRepresentation
bin101000010111100…
…1111001000011110
310111101211210001000
41100233033020132
510233231410110
6342224531130
745365366415
oct12057171036
93441753030
101354560030
11635682aaa
12319780aa6
1318782bb15
14cbc8447c
157ddbb1c0
hex50bcf21e

1354560030 has 64 divisors (see below), whose sum is σ = 3621545280. Its totient is φ = 360277632.

The previous prime is 1354560019. The next prime is 1354560037. The reversal of 1354560030 is 300654531.

1354560030 is a `hidden beast` number, since 1 + 3 + 54 + 5 + 600 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1354559976 and 1354560003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1354560037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100872 + ... + 113508.

It is an arithmetic number, because the mean of its divisors is an integer number (56586645).

Almost surely, 21354560030 is an apocalyptic number.

1354560030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1354560030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1810772640).

1354560030 is an abundant number, since it is smaller than the sum of its proper divisors (2266985250).

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

1354560030 is a wasteful number, since it uses less digits than its factorization.

1354560030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13050 (or 13044 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 1354560030 is about 36804.3479768356. The cubic root of 1354560030 is about 1106.4524432725.

The spelling of 1354560030 in words is "one billion, three hundred fifty-four million, five hundred sixty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 397 794 1191 1985 2382 3573 3970 5955 7146 10719 11910 12637 17865 21438 25274 35730 37911 53595 63185 75822 107190 113733 126370 189555 227466 341199 379110 568665 682398 1137330 1705995 3411990 5016889 10033778 15050667 25084445 30101334 45152001 50168890 75253335 90304002 135456003 150506670 225760005 270912006 451520010 677280015 1354560030