Search a number
-
+
13375320 = 2335715923
BaseRepresentation
bin110011000001…
…011101011000
3221011112111020
4303001131120
511411002240
61154402440
7221455050
oct63013530
927145436
1013375320
117606092
124590420
132a03cba
141ac2560
1512930d0
hexcc1758

13375320 has 64 divisors (see below), whose sum is σ = 45861120. Its totient is φ = 3057024.

The previous prime is 13375303. The next prime is 13375333. The reversal of 13375320 is 2357331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7122 + ... + 8801.

It is an arithmetic number, because the mean of its divisors is an integer number (716580).

Almost surely, 213375320 is an apocalyptic number.

13375320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13375320 is an abundant number, since it is smaller than the sum of its proper divisors (32485800).

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

13375320 is a wasteful number, since it uses less digits than its factorization.

13375320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15944 (or 15940 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 24.

The square root of 13375320 is about 3657.2284588196. The cubic root of 13375320 is about 237.3748629790.

It can be divided in two parts, 13375 and 320, that added together give a triangular number (13695 = T165).

The spelling of 13375320 in words is "thirteen million, three hundred seventy-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 15923 31846 47769 63692 79615 95538 111461 127384 159230 191076 222922 238845 318460 334383 382152 445844 477690 557305 636920 668766 891688 955380 1114610 1337532 1671915 1910760 2229220 2675064 3343830 4458440 6687660 13375320