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272313930 = 235710712119
BaseRepresentation
bin10000001110110…
…010111001001010
3200222101222111010
4100032302321022
51024203021210
643004344350
76514426110
oct2016627112
9628358433
10272313930
1112a794539
12772450b6
1344556105
1428247ab0
1518d90920
hex103b2e4a

272313930 has 64 divisors (see below), whose sum is σ = 753960960. Its totient is φ = 61656384.

The previous prime is 272313919. The next prime is 272313959. The reversal of 272313930 is 39313272.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16411 + ... + 28529.

It is an arithmetic number, because the mean of its divisors is an integer number (11780640).

Almost surely, 2272313930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272313930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376980480).

272313930 is an abundant number, since it is smaller than the sum of its proper divisors (481647030).

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

272313930 is a wasteful number, since it uses less digits than its factorization.

272313930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12243.

The product of its (nonzero) digits is 6804, while the sum is 30.

The square root of 272313930 is about 16501.9371590126. The cubic root of 272313930 is about 648.1715319027.

It can be divided in two parts, 2723 and 13930, that added together give a triangular number (16653 = T182).

The spelling of 272313930 in words is "two hundred seventy-two million, three hundred thirteen thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 107 210 214 321 535 642 749 1070 1498 1605 2247 3210 3745 4494 7490 11235 12119 22470 24238 36357 60595 72714 84833 121190 169666 181785 254499 363570 424165 508998 848330 1272495 1296733 2544990 2593466 3890199 6483665 7780398 9077131 12967330 18154262 19450995 27231393 38901990 45385655 54462786 90771310 136156965 272313930