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270054040 = 235231092693
BaseRepresentation
bin10000000110001…
…011001010011000
3200211011011111111
4100012023022120
51023113212130
642444110104
76456264364
oct2006131230
9624134444
10270054040
11129490663
1276535334
1343c445b9
1427c1a2a4
1518a9602a
hex1018b298

270054040 has 64 divisors (see below), whose sum is σ = 640094400. Its totient is φ = 102339072.

The previous prime is 270054023. The next prime is 270054041. The reversal of 270054040 is 40450072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270054041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98934 + ... + 101626.

It is an arithmetic number, because the mean of its divisors is an integer number (10001475).

Almost surely, 2270054040 is an apocalyptic number.

270054040 is a gapful number since it is divisible by the number (20) 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 270054040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320047200).

270054040 is an abundant number, since it is smaller than the sum of its proper divisors (370040360).

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

270054040 is a wasteful number, since it uses less digits than its factorization.

270054040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2836 (or 2832 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 270054040 is about 16433.3210277168. The cubic root of 270054040 is about 646.3735247444.

The spelling of 270054040 in words is "two hundred seventy million, fifty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 109 115 184 218 230 436 460 545 872 920 1090 2180 2507 2693 4360 5014 5386 10028 10772 12535 13465 20056 21544 25070 26930 50140 53860 61939 100280 107720 123878 247756 293537 309695 495512 587074 619390 1174148 1238780 1467685 2348296 2477560 2935370 5870740 6751351 11741480 13502702 27005404 33756755 54010808 67513510 135027020 270054040