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6144996 = 22311133581
BaseRepresentation
bin10111011100001111100100
3102120012100110
4113130033210
53033114441
6335413020
7103142304
oct27341744
912505313
106144996
113517910
122084170
131371cc0
14b5d604
15815b16
hex5dc3e4

6144996 has 48 divisors (see below), whose sum is σ = 16849728. Its totient is φ = 1718400.

The previous prime is 6144991. The next prime is 6145019. The reversal of 6144996 is 6994416.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6144991) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 75 + ... + 3506.

It is an arithmetic number, because the mean of its divisors is an integer number (351036).

Almost surely, 26144996 is an apocalyptic number.

6144996 is a gapful number since it is divisible by the number (66) 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 6144996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8424864).

6144996 is an abundant number, since it is smaller than the sum of its proper divisors (10704732).

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

6144996 is a wasteful number, since it uses less digits than its factorization.

6144996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3612 (or 3610 counting only the distinct ones).

The product of its digits is 46656, while the sum is 39.

The square root of 6144996 is about 2478.9102444421. The cubic root of 6144996 is about 183.1641752823.

It can be divided in two parts, 6144 and 996, that added together give a triangular number (7140 = T119).

The spelling of 6144996 in words is "six million, one hundred forty-four thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 429 572 858 1716 3581 7162 10743 14324 21486 39391 42972 46553 78782 93106 118173 139659 157564 186212 236346 279318 472692 512083 558636 1024166 1536249 2048332 3072498 6144996