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2742837390 = 234513125849
BaseRepresentation
bin1010001101111100…
…0110000010001110
321002011010120120000
42203133012002032
521104131244030
61132100305130
7124653506316
oct24337060216
97064116500
102742837390
111188295367
126466a21a6
13349334907
141c03c4446
15110be7860
hexa37c608e

2742837390 has 80 divisors (see below), whose sum is σ = 7431771600. Its totient is φ = 725811840.

The previous prime is 2742837379. The next prime is 2742837401. The reversal of 2742837390 is 937382472.

2742837390 is a `hidden beast` number, since 274 + 2 + 8 + 373 + 9 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2742837379) and next prime (2742837401).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 93186 + ... + 119034.

It is an arithmetic number, because the mean of its divisors is an integer number (92897145).

Almost surely, 22742837390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2742837390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3715885800).

2742837390 is an abundant number, since it is smaller than the sum of its proper divisors (4688934210).

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

2742837390 is a wasteful number, since it uses less digits than its factorization.

2742837390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25999 (or 25990 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 2742837390 is about 52372.1050751256. The cubic root of 2742837390 is about 1399.8022492798.

The spelling of 2742837390 in words is "two billion, seven hundred forty-two million, eight hundred thirty-seven thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 131 135 162 262 270 393 405 655 786 810 1179 1310 1965 2358 3537 3930 5895 7074 10611 11790 17685 21222 25849 35370 51698 53055 77547 106110 129245 155094 232641 258490 387735 465282 697923 775470 1163205 1395846 2093769 2326410 3386219 3489615 4187538 6772438 6979230 10158657 10468845 16931095 20317314 20937690 30475971 33862190 50793285 60951942 91427913 101586570 152379855 182855826 274283739 304759710 457139565 548567478 914279130 1371418695 2742837390