Search a number
-
+
272081700 = 223352119161
BaseRepresentation
bin10000001101111…
…010001100100100
3200221222011221000
4100031322030210
51024123103300
642555353300
76512441052
oct2015721444
9627864830
10272081700
1112a646010
1277152830
13444a44b7
14281c71d2
1518d46c00
hex1037a324

272081700 has 144 divisors (see below), whose sum is σ = 954313920. Its totient is φ = 65952000.

The previous prime is 272081687. The next prime is 272081713. The reversal of 272081700 is 7180272.

It is an interprime number because it is at equal distance from previous prime (272081687) and next prime (272081713).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25120 + ... + 34280.

It is an arithmetic number, because the mean of its divisors is an integer number (6627180).

Almost surely, 2272081700 is an apocalyptic number.

272081700 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 272081700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477156960).

272081700 is an abundant number, since it is smaller than the sum of its proper divisors (682232220).

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

272081700 is a wasteful number, since it uses less digits than its factorization.

272081700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9195 (or 9182 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 272081700 is about 16494.8992115745. The cubic root of 272081700 is about 647.9872253997.

The spelling of 272081700 in words is "two hundred seventy-two million, eighty-one thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 27 30 33 36 44 45 50 54 55 60 66 75 90 99 100 108 110 132 135 150 165 180 198 220 225 270 275 297 300 330 396 450 495 540 550 594 660 675 825 900 990 1100 1188 1350 1485 1650 1980 2475 2700 2970 3300 4950 5940 7425 9161 9900 14850 18322 27483 29700 36644 45805 54966 82449 91610 100771 109932 137415 164898 183220 201542 229025 247347 274830 302313 329796 403084 412245 458050 494694 503855 549660 604626 687075 824490 906939 916100 989388 1007710 1209252 1236735 1374150 1511565 1648980 1813878 2015420 2061225 2473470 2519275 2720817 2748300 3023130 3627756 4122450 4534695 4946940 5038550 5441634 6046260 6183675 7557825 8244900 9069390 10077100 10883268 12367350 13604085 15115650 18138780 22673475 24734700 27208170 30231300 45346950 54416340 68020425 90693900 136040850 272081700