Search a number
-
+
72490860 = 223251322383
BaseRepresentation
bin1000101001000…
…01111101101100
312001101220202200
410110201331230
5122024201420
611105421500
71540106421
oct424417554
9161356680
1072490860
1137a12502
122033a890
1312031500
1498add48
15656db90
hex4521f6c

72490860 has 108 divisors (see below), whose sum is σ = 238204512. Its totient is φ = 17836416.

The previous prime is 72490853. The next prime is 72490877. The reversal of 72490860 is 6809427.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 29229 + ... + 31611.

Almost surely, 272490860 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72490860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119102256).

72490860 is an abundant number, since it is smaller than the sum of its proper divisors (165713652).

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

72490860 is a wasteful number, since it uses less digits than its factorization.

72490860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2424 (or 2406 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 72490860 is about 8514.1564467656. The cubic root of 72490860 is about 416.9600223911.

The spelling of 72490860 in words is "seventy-two million, four hundred ninety thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 169 180 195 234 260 338 390 468 507 585 676 780 845 1014 1170 1521 1690 2028 2340 2383 2535 3042 3380 4766 5070 6084 7149 7605 9532 10140 11915 14298 15210 21447 23830 28596 30420 30979 35745 42894 47660 61958 71490 85788 92937 107235 123916 142980 154895 185874 214470 278811 309790 371748 402727 428940 464685 557622 619580 805454 929370 1115244 1208181 1394055 1610908 1858740 2013635 2416362 2788110 3624543 4027270 4832724 5576220 6040905 7249086 8054540 12081810 14498172 18122715 24163620 36245430 72490860