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272603940 = 223573112087
BaseRepresentation
bin10000001111111…
…001101100100100
3200222221201022020
4100033321230210
51024241311230
643014503140
76520044450
oct2017715444
9628851266
10272603940
1112a972414
1277364ab0
134462810b
14282c1660
1518deb810
hex103f9b24

272603940 has 96 divisors (see below), whose sum is σ = 875556864. Its totient is φ = 62079360.

The previous prime is 272603923. The next prime is 272603951. The reversal of 272603940 is 49306272.

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, 129577 + ... + 131663.

It is an arithmetic number, because the mean of its divisors is an integer number (9120384).

Almost surely, 2272603940 is an apocalyptic number.

272603940 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 272603940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437778432).

272603940 is an abundant number, since it is smaller than the sum of its proper divisors (602952924).

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

272603940 is a wasteful number, since it uses less digits than its factorization.

272603940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2417 (or 2415 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 272603940 is about 16510.7219708891. The cubic root of 272603940 is about 648.4015477217.

The spelling of 272603940 in words is "two hundred seventy-two million, six hundred three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 311 420 622 933 1244 1555 1866 2087 2177 3110 3732 4174 4354 4665 6220 6261 6531 8348 8708 9330 10435 10885 12522 13062 14609 18660 20870 21770 25044 26124 29218 31305 32655 41740 43540 43827 58436 62610 65310 73045 87654 125220 130620 146090 175308 219135 292180 438270 649057 876540 1298114 1947171 2596228 3245285 3894342 4543399 6490570 7788684 9086798 9735855 12981140 13630197 18173596 19471710 22716995 27260394 38943420 45433990 54520788 68150985 90867980 136301970 272603940