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6214968 = 233523139
BaseRepresentation
bin10111101101010100111000
3102200202100000
4113231110320
53042334333
6341113000
7103553304
oct27552470
912622300
106214968
113565441
1220b8760
131397ac6
14b7ad04
1582b713
hex5ed538

6214968 has 96 divisors (see below), whose sum is σ = 18345600. Its totient is φ = 1967328.

The previous prime is 6214937. The next prime is 6214981. The reversal of 6214968 is 8694126.

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

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 44643 + ... + 44781.

It is an arithmetic number, because the mean of its divisors is an integer number (191100).

Almost surely, 26214968 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 6214968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9172800).

6214968 is an abundant number, since it is smaller than the sum of its proper divisors (12130632).

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

6214968 is a wasteful number, since it uses less digits than its factorization.

6214968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 167 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 6214968 is about 2492.9837544597. The cubic root of 6214968 is about 183.8567725973.

The spelling of 6214968 in words is "six million, two hundred fourteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 81 92 108 138 139 162 184 207 216 243 276 278 324 414 417 486 552 556 621 648 828 834 972 1112 1242 1251 1656 1668 1863 1944 2484 2502 3197 3336 3726 3753 4968 5004 5589 6394 7452 7506 9591 10008 11178 11259 12788 14904 15012 19182 22356 22518 25576 28773 30024 33777 38364 44712 45036 57546 67554 76728 86319 90072 115092 135108 172638 230184 258957 270216 345276 517914 690552 776871 1035828 1553742 2071656 3107484 6214968