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213676428 = 22373122647
BaseRepresentation
bin11001011110001…
…11000110001100
3112220001212221210
430233013012030
5414200121203
633111454420
75203135230
oct1457070614
9486055853
10213676428
11aa684299
125b687410
1335365374
14205425c0
1513b5b803
hexcbc718c

213676428 has 72 divisors (see below), whose sum is σ = 588999936. Its totient is φ = 59058720.

The previous prime is 213676409. The next prime is 213676453. The reversal of 213676428 is 824676312.

It is a happy number.

213676428 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79401 + ... + 82047.

Almost surely, 2213676428 is an apocalyptic number.

213676428 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213676428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294499968).

213676428 is an abundant number, since it is smaller than the sum of its proper divisors (375323508).

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

213676428 is a wasteful number, since it uses less digits than its factorization.

213676428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2723 (or 2690 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 213676428 is about 14617.6751913565. The cubic root of 213676428 is about 597.8407834050.

The spelling of 213676428 in words is "two hundred thirteen million, six hundred seventy-six thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 372 434 651 868 961 1302 1922 2604 2647 2883 3844 5294 5766 6727 7941 10588 11532 13454 15882 18529 20181 26908 31764 37058 40362 55587 74116 80724 82057 111174 164114 222348 246171 328228 492342 574399 984684 1148798 1723197 2297596 2543767 3446394 5087534 6892788 7631301 10175068 15262602 17806369 30525204 35612738 53419107 71225476 106838214 213676428