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213356460 = 223517209173
BaseRepresentation
bin11001011011110…
…00111110101100
3112212110122001010
430231320332230
5414104401320
633100545220
75200333332
oct1455707654
9485418033
10213356460
11aa485959
125b552210
1335282835
142049bb52
1513ae6ae0
hexcb78fac

213356460 has 48 divisors (see below), whose sum is σ = 632542176. Its totient is φ = 53548032.

The previous prime is 213356459. The next prime is 213356471. The reversal of 213356460 is 64653312.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103567 + ... + 105606.

It is an arithmetic number, because the mean of its divisors is an integer number (13177962).

Almost surely, 2213356460 is an apocalyptic number.

213356460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213356460 is an abundant number, since it is smaller than the sum of its proper divisors (419185716).

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

213356460 is a wasteful number, since it uses less digits than its factorization.

213356460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209202 (or 209200 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 213356460 is about 14606.7265326630. The cubic root of 213356460 is about 597.5422237511.

The spelling of 213356460 in words is "two hundred thirteen million, three hundred fifty-six thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 209173 418346 627519 836692 1045865 1255038 2091730 2510076 3137595 3555941 4183460 6275190 7111882 10667823 12550380 14223764 17779705 21335646 35559410 42671292 53339115 71118820 106678230 213356460