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13379625 = 325371699
BaseRepresentation
bin110011000010…
…100000101001
3221011202101200
4303002200221
511411122000
61154434413
7221503440
oct63024051
927152350
1013379625
117609346
124592a09
132a05c4c
141ac3d57
151294500
hexcc2829

13379625 has 48 divisors (see below), whose sum is σ = 27580800. Its totient is φ = 6112800.

The previous prime is 13379623. The next prime is 13379627. The reversal of 13379625 is 52697331.

13379625 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13379623) and next prime (13379627).

It is not a de Polignac number, because 13379625 - 21 = 13379623 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13379625.

It is not an unprimeable number, because it can be changed into a prime (13379621) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7026 + ... + 8724.

It is an arithmetic number, because the mean of its divisors is an integer number (574600).

Almost surely, 213379625 is an apocalyptic number.

13379625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13379625 is an abundant number, since it is smaller than the sum of its proper divisors (14201175).

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

13379625 is a wasteful number, since it uses less digits than its factorization.

13379625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1727 (or 1714 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 13379625 is about 3657.8169719110. The cubic root of 13379625 is about 237.4003275204.

The spelling of 13379625 in words is "thirteen million, three hundred seventy-nine thousand, six hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 125 175 225 315 375 525 875 1125 1575 1699 2625 5097 7875 8495 11893 15291 25485 35679 42475 59465 76455 107037 127425 178395 212375 297325 382275 535185 637125 891975 1486625 1911375 2675925 4459875 13379625