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1355001630 = 235317120521
BaseRepresentation
bin101000011000011…
…1010111100011110
310111102200012210120
41100300322330132
510233340023010
6342242215410
745402216033
oct12060727436
93442605716
101355001630
11635954864
12319954566
13187954b18
14cbd5b38a
157de56e70
hex50c3af1e

1355001630 has 64 divisors (see below), whose sum is σ = 3404353536. Its totient is φ = 344736000.

The previous prime is 1355001581. The next prime is 1355001631. The reversal of 1355001630 is 361005531.

It is a self number, because there is not a number n which added to its sum of digits gives 1355001630.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1355001631) 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, 55770 + ... + 76290.

It is an arithmetic number, because the mean of its divisors is an integer number (53193024).

Almost surely, 21355001630 is an apocalyptic number.

1355001630 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 1355001630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1702176768).

1355001630 is an abundant number, since it is smaller than the sum of its proper divisors (2049351906).

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

1355001630 is a wasteful number, since it uses less digits than its factorization.

1355001630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20633.

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 1355001630 is about 36810.3467791326. The cubic root of 1355001630 is about 1106.5726683641.

The spelling of 1355001630 in words is "one billion, three hundred fifty-five million, one thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 71 93 142 155 186 213 310 355 426 465 710 930 1065 2130 2201 4402 6603 11005 13206 20521 22010 33015 41042 61563 66030 102605 123126 205210 307815 615630 636151 1272302 1456991 1908453 2913982 3180755 3816906 4370973 6361510 7284955 8741946 9542265 14569910 19084530 21854865 43709730 45166721 90333442 135500163 225833605 271000326 451667210 677500815 1355001630