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272246130 = 23351377563
BaseRepresentation
bin10000001110100…
…010010101110010
3200222021112111000
4100032202111302
51024143334010
643003102430
76514024332
oct2016422562
9628245430
10272246130
1112a748602
1277211a16
13445312b0
142822b0c2
1518d7a7c0
hex103a2572

272246130 has 64 divisors (see below), whose sum is σ = 781845120. Its totient is φ = 67013568.

The previous prime is 272246083. The next prime is 272246141. The reversal of 272246130 is 31642272.

272246130 is a `hidden beast` number, since 27 + 2 + 24 + 613 + 0 = 666.

272246130 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 272246094 and 272246103.

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, 35272 + ... + 42291.

It is an arithmetic number, because the mean of its divisors is an integer number (12216330).

Almost surely, 2272246130 is an apocalyptic number.

272246130 is an abundant number, since it is smaller than the sum of its proper divisors (509598990).

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

272246130 is a wasteful number, since it uses less digits than its factorization.

272246130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77592 (or 77586 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 272246130 is about 16499.8827268560. The cubic root of 272246130 is about 648.1177340948.

The spelling of 272246130 in words is "two hundred seventy-two million, two hundred forty-six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 585 702 1170 1755 3510 77563 155126 232689 387815 465378 698067 775630 1008319 1163445 1396134 2016638 2094201 2326890 3024957 3490335 4188402 5041595 6049914 6980670 9074871 10083190 10471005 15124785 18149742 20942010 27224613 30249570 45374355 54449226 90748710 136123065 272246130