Search a number
-
+
2123988760 = 235191317877
BaseRepresentation
bin111111010011001…
…0111111100011000
312111000122210211101
41332212113330120
513322220120020
6550432241144
7103430415025
oct17646277430
95430583741
102123988760
1199aa33213
124b33a01b4
1327b0699aa
1416213254c
15c670500a
hex7e997f18

2123988760 has 64 divisors (see below), whose sum is σ = 4824645120. Its totient is φ = 841520640.

The previous prime is 2123988749. The next prime is 2123988791. The reversal of 2123988760 is 678893212.

It is a super-2 number, since 2×21239887602 = 9022656505212675200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2123988760.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2421442 + ... + 2422318.

It is an arithmetic number, because the mean of its divisors is an integer number (75385080).

Almost surely, 22123988760 is an apocalyptic number.

2123988760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2123988760 is an abundant number, since it is smaller than the sum of its proper divisors (2700656360).

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

2123988760 is a wasteful number, since it uses less digits than its factorization.

2123988760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The square root of 2123988760 is about 46086.7525434370. The cubic root of 2123988760 is about 1285.4368270655.

The spelling of 2123988760 in words is "two billion, one hundred twenty-three million, nine hundred eighty-eight thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 191 317 382 634 764 877 955 1268 1528 1585 1754 1910 2536 3170 3508 3820 4385 6340 7016 7640 8770 12680 17540 35080 60547 121094 167507 242188 278009 302735 335014 484376 556018 605470 670028 837535 1112036 1210940 1340056 1390045 1675070 2224072 2421880 2780090 3350140 5560180 6700280 11120360 53099719 106199438 212398876 265498595 424797752 530997190 1061994380 2123988760