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6054749940 = 22357310313421
BaseRepresentation
bin1011010001110010…
…00010011011110100
3120121222002011110210
411220321002123310
544400003444230
62440450145420
7303020345121
oct55071023364
916558064423
106054749940
112627826278
12120b882270
13756528195
144161c1748
1525684eeb0
hex168e426f4

6054749940 has 96 divisors (see below), whose sum is σ = 17353679616. Its totient is φ = 1576903680.

The previous prime is 6054749933. The next prime is 6054749951. The reversal of 6054749940 is 499474506.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 6054749940.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 444430 + ... + 457850.

It is an arithmetic number, because the mean of its divisors is an integer number (180767496).

Almost surely, 26054749940 is an apocalyptic number.

6054749940 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 6054749940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8676839808).

6054749940 is an abundant number, since it is smaller than the sum of its proper divisors (11298929676).

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

6054749940 is a wasteful number, since it uses less digits than its factorization.

6054749940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13609 (or 13607 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 6054749940 is about 77812.2737105143. The cubic root of 6054749940 is about 1822.6309351380.

The spelling of 6054749940 in words is "six billion, fifty-four million, seven hundred forty-nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 103 146 206 219 292 309 365 412 438 515 618 730 876 1030 1095 1236 1460 1545 2060 2190 3090 4380 6180 7519 13421 15038 22557 26842 30076 37595 40263 45114 53684 67105 75190 80526 90228 112785 134210 150380 161052 201315 225570 268420 402630 451140 805260 979733 1382363 1959466 2764726 2939199 3918932 4147089 4898665 5529452 5878398 6911815 8294178 9797330 11756796 13823630 14695995 16588356 19594660 20735445 27647260 29391990 41470890 58783980 82941780 100912499 201824998 302737497 403649996 504562495 605474994 1009124990 1210949988 1513687485 2018249980 3027374970 6054749940