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6145740 = 2233519599
BaseRepresentation
bin10111011100011011001100
3102120020101000
4113130123030
53033130430
6335420300
7103144416
oct27343314
912506330
106145740
113518427
122084690
131372443
14b5d9b6
15815e60
hex5dc6cc

6145740 has 96 divisors (see below), whose sum is σ = 20160000. Its totient is φ = 1550016.

The previous prime is 6145729. The next prime is 6145753. The reversal of 6145740 is 475416.

6145740 is a `hidden beast` number, since 614 + 5 + 7 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 9961 + ... + 10559.

It is an arithmetic number, because the mean of its divisors is an integer number (210000).

Almost surely, 26145740 is an apocalyptic number.

6145740 is a gapful number since it is divisible by the number (60) 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 6145740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10080000).

6145740 is an abundant number, since it is smaller than the sum of its proper divisors (14014260).

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

6145740 is a wasteful number, since it uses less digits than its factorization.

6145740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 6145740 is about 2479.0603058417. The cubic root of 6145740 is about 183.1715671313.

The spelling of 6145740 in words is "six million, one hundred forty-five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 90 95 108 114 135 171 180 190 228 270 285 342 380 513 540 570 599 684 855 1026 1140 1198 1710 1797 2052 2396 2565 2995 3420 3594 5130 5391 5990 7188 8985 10260 10782 11381 11980 16173 17970 21564 22762 26955 32346 34143 35940 45524 53910 56905 64692 68286 80865 102429 107820 113810 136572 161730 170715 204858 227620 307287 323460 341430 409716 512145 614574 682860 1024290 1229148 1536435 2048580 3072870 6145740