Search a number
-
+
213058320 = 2435887743
BaseRepresentation
bin11001011001100…
…00001100010000
3112211220111001220
430230300030100
5414020331240
633050325040
75164652166
oct1454601420
9484814056
10213058320
11aa2a1962
125b429780
13351a9c17
1420421236
1513a885d0
hexcb30310

213058320 has 40 divisors (see below), whose sum is σ = 660481536. Its totient is φ = 56815488.

The previous prime is 213058301. The next prime is 213058327. The reversal of 213058320 is 23850312.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is not an unprimeable number, because it can be changed into a prime (213058327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 443632 + ... + 444111.

Almost surely, 2213058320 is an apocalyptic number.

213058320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213058320 is an abundant number, since it is smaller than the sum of its proper divisors (447423216).

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

213058320 is a wasteful number, since it uses less digits than its factorization.

213058320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887759 (or 887753 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 213058320 is about 14596.5173928578. The cubic root of 213058320 is about 597.2637628682.

The spelling of 213058320 in words is "two hundred thirteen million, fifty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 887743 1775486 2663229 3550972 4438715 5326458 7101944 8877430 10652916 13316145 14203888 17754860 21305832 26632290 35509720 42611664 53264580 71019440 106529160 213058320