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272300742 = 232721916249
BaseRepresentation
bin10000001110101…
…111101011000110
3200222101022101200
4100032233223012
51024202110432
643004203330
76514342500
oct2016575306
9628338350
10272300742
1112a78563a
1277239546
13445500cc
1428242d70
1518d8ba7c
hex103afac6

272300742 has 72 divisors (see below), whose sum is σ = 722475000. Its totient is φ = 73700928.

The previous prime is 272300737. The next prime is 272300759. The reversal of 272300742 is 247003272.

It is a zygodrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8634 + ... + 24882.

It is an arithmetic number, because the mean of its divisors is an integer number (10034375).

Almost surely, 2272300742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272300742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361237500).

272300742 is an abundant number, since it is smaller than the sum of its proper divisors (450174258).

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

272300742 is a wasteful number, since it uses less digits than its factorization.

272300742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16290 (or 16280 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 272300742 is about 16501.5375647241. The cubic root of 272300742 is about 648.1610682146.

The spelling of 272300742 in words is "two hundred seventy-two million, three hundred thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 49 57 63 98 114 126 133 147 171 266 294 342 399 441 798 882 931 1197 1862 2394 2793 5586 8379 16249 16758 32498 48747 97494 113743 146241 227486 292482 308731 341229 617462 682458 796201 926193 1023687 1592402 1852386 2047374 2161117 2388603 2778579 4322234 4777206 5557158 6483351 7165809 12966702 14331618 15127819 19450053 30255638 38900106 45383457 90766914 136150371 272300742