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2731026096 = 2432313671667
BaseRepresentation
bin1010001011001000…
…0010011010110000
321001022220111111200
42202302002122300
521043120313341
61130555211200
7124451224131
oct24262023260
97038814450
102731026096
111181658367
12642746b00
13346a5a796
141bc9cbc88
1510eb62db6
hexa2c826b0

2731026096 has 120 divisors (see below), whose sum is σ = 7915874304. Its totient is φ = 878048640.

The previous prime is 2731026079. The next prime is 2731026097. The reversal of 2731026096 is 6906201372.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2731026096.

It is not an unprimeable number, because it can be changed into a prime (2731026097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1637455 + ... + 1639121.

Almost surely, 22731026096 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 2731026096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3957937152).

2731026096 is an abundant number, since it is smaller than the sum of its proper divisors (5184848208).

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

2731026096 is a wasteful number, since it uses less digits than its factorization.

2731026096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2079 (or 2070 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 2731026096 is about 52259.2202008411. The cubic root of 2731026096 is about 1397.7900671461.

The spelling of 2731026096 in words is "two billion, seven hundred thirty-one million, twenty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 367 372 496 558 734 744 1101 1116 1468 1488 1667 2202 2232 2936 3303 3334 4404 4464 5001 5872 6606 6668 8808 10002 11377 13212 13336 15003 17616 20004 22754 26424 26672 30006 34131 40008 45508 51677 52848 60012 68262 80016 91016 102393 103354 120024 136524 155031 182032 204786 206708 240048 273048 310062 409572 413416 465093 546096 611789 620124 819144 826832 930186 1223578 1240248 1638288 1835367 1860372 2447156 2480496 3670734 3720744 4894312 5506101 7341468 7441488 9788624 11012202 14682936 18965459 22024404 29365872 37930918 44048808 56896377 75861836 88097616 113792754 151723672 170689131 227585508 303447344 341378262 455171016 682756524 910342032 1365513048 2731026096