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6129400 = 2352191613
BaseRepresentation
bin10111011000011011111000
3102112101221211
4113120123320
53032120100
6335212504
7103045654
oct27303370
912471854
106129400
113507122
122077134
131367b84
14b57a64
158111ba
hex5d86f8

6129400 has 48 divisors (see below), whose sum is σ = 15010200. Its totient is φ = 2321280.

The previous prime is 6129379. The next prime is 6129407. The reversal of 6129400 is 49216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6129407) 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 11 ways as a sum of consecutive naturals, for example, 2994 + ... + 4606.

Almost surely, 26129400 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 6129400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7505100).

6129400 is an abundant number, since it is smaller than the sum of its proper divisors (8880800).

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

6129400 is a wasteful number, since it uses less digits than its factorization.

6129400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 6129400 is about 2475.7625088041. The cubic root of 6129400 is about 183.0090871098.

The spelling of 6129400 in words is "six million, one hundred twenty-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1613 1900 3226 3800 6452 8065 12904 16130 30647 32260 40325 61294 64520 80650 122588 153235 161300 245176 306470 322600 612940 766175 1225880 1532350 3064700 6129400