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213470760 = 23353748079
BaseRepresentation
bin11001011100101…
…00111000101000
3112212200102211110
430232110320220
5414122031020
633103230320
75201320506
oct1456247050
9485612743
10213470760
11aa553818
125b5a83a0
13352c2879
14204cb676
1513b1a8e0
hexcb94e28

213470760 has 64 divisors (see below), whose sum is σ = 657734400. Its totient is φ = 55385856.

The previous prime is 213470753. The next prime is 213470773. The reversal of 213470760 is 67074312.

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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19600 + ... + 28479.

It is an arithmetic number, because the mean of its divisors is an integer number (10277100).

Almost surely, 2213470760 is an apocalyptic number.

213470760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213470760 is an abundant number, since it is smaller than the sum of its proper divisors (444263640).

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

213470760 is a wasteful number, since it uses less digits than its factorization.

213470760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48130 (or 48126 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 213470760 is about 14610.6385897400. The cubic root of 213470760 is about 597.6489104409.

The spelling of 213470760 in words is "two hundred thirteen million, four hundred seventy thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 4440 48079 96158 144237 192316 240395 288474 384632 480790 576948 721185 961580 1153896 1442370 1778923 1923160 2884740 3557846 5336769 5769480 7115692 8894615 10673538 14231384 17789230 21347076 26683845 35578460 42694152 53367690 71156920 106735380 213470760