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213480832 = 2717229199
BaseRepresentation
bin11001011100101…
…11010110000000
3112212200221122111
430232113112000
5414122341312
633103345104
75201362045
oct1456272600
9485627574
10213480832
11aa560344
125b5b2194
13352c7326
14204d11cc
1513b1d8a7
hexcb97580

213480832 has 96 divisors (see below), whose sum is σ = 469710000. Its totient is φ = 96509952.

The previous prime is 213480811. The next prime is 213480847. The reversal of 213480832 is 238084312.

It is a junction number, because it is equal to n+sod(n) for n = 213480794 and 213480803.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 1072669 + ... + 1072867.

Almost surely, 2213480832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213480832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234855000).

213480832 is an abundant number, since it is smaller than the sum of its proper divisors (256229168).

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

213480832 is a wasteful number, since it uses less digits than its factorization.

213480832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 213480832 is about 14610.9832660229. The cubic root of 213480832 is about 597.6583097378.

The spelling of 213480832 in words is "two hundred thirteen million, four hundred eighty thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 17 29 32 34 58 64 68 116 128 136 199 232 272 289 398 464 493 544 578 796 928 986 1088 1156 1592 1856 1972 2176 2312 3184 3383 3712 3944 4624 5771 6368 6766 7888 8381 9248 11542 12736 13532 15776 16762 18496 23084 25472 27064 31552 33524 36992 46168 54128 57511 63104 67048 92336 98107 108256 115022 134096 184672 196214 216512 230044 268192 369344 392428 433024 460088 536384 738688 784856 920176 1072768 1569712 1667819 1840352 3139424 3335638 3680704 6278848 6671276 7361408 12557696 13342552 26685104 53370208 106740416 213480832