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326135520 = 25325226483
BaseRepresentation
bin10011011100000…
…110111011100000
3211201200101211100
4103130012323200
51131442314040
652210114400
711040051264
oct2334067340
9751611740
10326135520
11158105497
129127ba00
135274bac9
14314580a4
151d972b30
hex13706ee0

326135520 has 72 divisors (see below), whose sum is σ = 1112942376. Its totient is φ = 86969088.

The previous prime is 326135507. The next prime is 326135527. The reversal of 326135520 is 25531623.

326135520 is a `hidden beast` number, since 3 + 2 + 6 + 135 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (326135527) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111802 + ... + 114681.

It is an arithmetic number, because the mean of its divisors is an integer number (15457533).

Almost surely, 2326135520 is an apocalyptic number.

326135520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

326135520 is an abundant number, since it is smaller than the sum of its proper divisors (786806856).

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

326135520 is a wasteful number, since it uses less digits than its factorization.

326135520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226504 (or 226493 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 326135520 is about 18059.2225746293. Note that the first 3 decimals coincide. The cubic root of 326135520 is about 688.3342300693.

It can be divided in two parts, 3261 and 35520, that added together give a triangular number (38781 = T278).

The spelling of 326135520 in words is "three hundred twenty-six million, one hundred thirty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 226483 452966 679449 905932 1132415 1358898 1811864 2038347 2264830 2717796 3397245 3623728 4076694 4529660 5435592 6794490 7247456 8153388 9059320 10191735 10871184 13588980 16306776 18118640 20383470 21742368 27177960 32613552 36237280 40766940 54355920 65227104 81533880 108711840 163067760 326135520