Search a number
-
+
2692072260 = 223452372251
BaseRepresentation
bin1010000001110101…
…1100001101000100
320221121121102220000
42200131130031010
521003132303020
61123044241300
7123466144113
oct24035341504
96847542800
102692072260
111161671809
126316a0230
1333b96c187
141b776bc7a
1510b51b090
hexa075c344

2692072260 has 120 divisors (see below), whose sum is σ = 8812431936. Its totient is φ = 686664000.

The previous prime is 2692072189. The next prime is 2692072277. The reversal of 2692072260 is 622702962.

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 39 ways as a sum of consecutive naturals, for example, 1135 + ... + 73385.

Almost surely, 22692072260 is an apocalyptic number.

2692072260 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 2692072260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4406215968).

2692072260 is an abundant number, since it is smaller than the sum of its proper divisors (6120359676).

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

2692072260 is a wasteful number, since it uses less digits than its factorization.

2692072260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72295 (or 72284 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2692072260 is about 51885.1834341944. The cubic root of 2692072260 is about 1391.1124507106.

The spelling of 2692072260 in words is "two billion, six hundred ninety-two million, seventy-two thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 81 90 92 108 115 135 138 162 180 207 230 270 276 324 345 405 414 460 540 621 690 810 828 1035 1242 1380 1620 1863 2070 2484 3105 3726 4140 6210 7452 9315 12420 18630 37260 72251 144502 216753 289004 361255 433506 650259 722510 867012 1083765 1300518 1445020 1661773 1950777 2167530 2601036 3251295 3323546 3901554 4335060 4985319 5852331 6502590 6647092 7803108 8308865 9753885 9970638 11704662 13005180 14955957 16617730 19507770 19941276 23409324 24926595 29261655 29911914 33235460 39015540 44867871 49853190 58523310 59823828 74779785 89735742 99706380 117046620 134603613 149559570 179471484 224339355 269207226 299119140 448678710 538414452 673018065 897357420 1346036130 2692072260