Search a number
-
+
213843456 = 293331499
BaseRepresentation
bin11001011111011…
…11111000000000
3112220101101002000
430233233320000
5414220442311
633115224000
75204432211
oct1457577000
9486341060
10213843456
11aa788832
125b748000
13353c33b8
1420587408
1513b91056
hexcbefe00

213843456 has 160 divisors (see below), whose sum is σ = 654720000. Its totient is φ = 68843520.

The previous prime is 213843403. The next prime is 213843457. The reversal of 213843456 is 654348312.

213843456 is a `hidden beast` number, since 213 + 8 + 434 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 213843456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213843457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 428295 + ... + 428793.

It is an arithmetic number, because the mean of its divisors is an integer number (4092000).

Almost surely, 2213843456 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 213843456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327360000).

213843456 is an abundant number, since it is smaller than the sum of its proper divisors (440876544).

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

213843456 is an equidigital number, since it uses as much as digits as its factorization.

213843456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 535 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 213843456 is about 14623.3872956986. The cubic root of 213843456 is about 597.9965175429.

The spelling of 213843456 in words is "two hundred thirteen million, eight hundred forty-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 128 144 186 192 216 248 256 279 288 372 384 432 496 499 512 558 576 744 768 837 864 992 998 1116 1152 1488 1497 1536 1674 1728 1984 1996 2232 2304 2976 2994 3348 3456 3968 3992 4464 4491 4608 5952 5988 6696 6912 7936 7984 8928 8982 11904 11976 13392 13473 13824 15469 15872 15968 17856 17964 23808 23952 26784 26946 30938 31936 35712 35928 46407 47616 47904 53568 53892 61876 63872 71424 71856 92814 95808 107136 107784 123752 127744 139221 142848 143712 185628 191616 214272 215568 247504 255488 278442 287424 371256 383232 417663 428544 431136 495008 556884 574848 742512 766464 835326 862272 990016 1113768 1149696 1485024 1670652 1724544 1980032 2227536 2299392 2970048 3341304 3449088 3960064 4455072 5940096 6682608 6898176 7920128 8910144 11880192 13365216 17820288 23760384 26730432 35640576 53460864 71281152 106921728 213843456