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13315950 = 23252127233
BaseRepresentation
bin110010110010…
…111101101110
3221001112001100
4302302331232
511402102300
61153223530
7221120004
oct62627556
927045040
1013315950
11757551a
124561ba6
1329b2c7b
141aa8a74
151280700
hexcb2f6e

13315950 has 72 divisors (see below), whose sum is σ = 36211968. Its totient is φ = 3507840.

The previous prime is 13315937. The next prime is 13315961. The reversal of 13315950 is 5951331.

It is a super-3 number, since 3×133159503 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 57034 + ... + 57266.

It is an arithmetic number, because the mean of its divisors is an integer number (502944).

Almost surely, 213315950 is an apocalyptic number.

13315950 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 13315950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18105984).

13315950 is an abundant number, since it is smaller than the sum of its proper divisors (22896018).

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

13315950 is a wasteful number, since it uses less digits than its factorization.

13315950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 2025, while the sum is 27.

The square root of 13315950 is about 3649.1026294145. The cubic root of 13315950 is about 237.0231243793.

The spelling of 13315950 in words is "thirteen million, three hundred fifteen thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 127 150 225 233 254 381 450 466 635 699 762 1143 1165 1270 1398 1905 2097 2286 2330 3175 3495 3810 4194 5715 5825 6350 6990 9525 10485 11430 11650 17475 19050 20970 28575 29591 34950 52425 57150 59182 88773 104850 147955 177546 266319 295910 443865 532638 739775 887730 1331595 1479550 2219325 2663190 4438650 6657975 13315950