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272197640 = 2351113232069
BaseRepresentation
bin10000001110010…
…110100000001000
3200222012001222002
4100032112200020
51024140311030
643002050132
76513433061
oct2016264010
9628161862
10272197640
1112a715130
12771a9948
13445151c0
1428217568
1518d6b245
hex10396808

272197640 has 128 divisors (see below), whose sum is σ = 751161600. Its totient is φ = 87352320.

The previous prime is 272197631. The next prime is 272197643. The reversal of 272197640 is 46791272.

It is a junction number, because it is equal to n+sod(n) for n = 272197594 and 272197603.

It is not an unprimeable number, because it can be changed into a prime (272197643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130526 + ... + 132594.

It is an arithmetic number, because the mean of its divisors is an integer number (5868450).

Almost surely, 2272197640 is an apocalyptic number.

272197640 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 272197640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375580800).

272197640 is an abundant number, since it is smaller than the sum of its proper divisors (478963960).

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

272197640 is a wasteful number, since it uses less digits than its factorization.

272197640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 38.

The square root of 272197640 is about 16498.4132570378. The cubic root of 272197640 is about 648.0792528683.

The spelling of 272197640 in words is "two hundred seventy-two million, one hundred ninety-seven thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 23 26 40 44 46 52 55 65 88 92 104 110 115 130 143 184 220 230 253 260 286 299 440 460 506 520 572 598 715 920 1012 1144 1196 1265 1430 1495 2024 2069 2392 2530 2860 2990 3289 4138 5060 5720 5980 6578 8276 10120 10345 11960 13156 16445 16552 20690 22759 26312 26897 32890 41380 45518 47587 53794 65780 82760 91036 95174 107588 113795 131560 134485 182072 190348 215176 227590 237935 268970 295867 380696 455180 475870 523457 537940 591734 618631 910360 951740 1046914 1075880 1183468 1237262 1479335 1903480 2093828 2366936 2474524 2617285 2958670 3093155 4187656 4949048 5234570 5917340 6186310 6804941 10469140 11834680 12372620 13609882 20938280 24745240 27219764 34024705 54439528 68049410 136098820 272197640