Search a number
-
+
13203270 = 233579619
BaseRepresentation
bin110010010111…
…011101000110
3220211210111000
4302113131012
511340001040
61150554130
7220140333
oct62273506
926753430
1013203270
1174a88a3
124508946
1329738b2
141a7998a
15125c130
hexc97746

13203270 has 64 divisors (see below), whose sum is σ = 35712000. Its totient is φ = 3470688.

The previous prime is 13203269. The next prime is 13203277. The reversal of 13203270 is 7230231.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13203277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21021 + ... + 21639.

It is an arithmetic number, because the mean of its divisors is an integer number (558000).

Almost surely, 213203270 is an apocalyptic number.

13203270 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 13203270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17856000).

13203270 is an abundant number, since it is smaller than the sum of its proper divisors (22508730).

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

13203270 is a wasteful number, since it uses less digits than its factorization.

13203270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 13203270 is about 3633.6304159889. The cubic root of 13203270 is about 236.3526638711.

The spelling of 13203270 in words is "thirteen million, two hundred three thousand, two hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 79 90 135 158 237 270 395 474 619 711 790 1185 1238 1422 1857 2133 2370 3095 3555 3714 4266 5571 6190 7110 9285 10665 11142 16713 18570 21330 27855 33426 48901 55710 83565 97802 146703 167130 244505 293406 440109 489010 733515 880218 1320327 1467030 2200545 2640654 4401090 6601635 13203270