Search a number
-
+
2046726640 = 245731117899
BaseRepresentation
bin111100111111110…
…1001000111110000
312021122021111010101
41321333221013300
513142430223030
6535032242144
7101501614030
oct17177510760
95248244111
102046726640
11960362022
12491540354
1326805786a
14155b7d8c0
15bea427ca
hex79fe91f0

2046726640 has 80 divisors (see below), whose sum is σ = 5613926400. Its totient is φ = 679092480.

The previous prime is 2046726637. The next prime is 2046726739. The reversal of 2046726640 is 466276402.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 2046726640.

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, 41590 + ... + 76309.

It is an arithmetic number, because the mean of its divisors is an integer number (70174080).

Almost surely, 22046726640 is an apocalyptic number.

2046726640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2046726640 is an abundant number, since it is smaller than the sum of its proper divisors (3567199760).

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

2046726640 is a wasteful number, since it uses less digits than its factorization.

2046726640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117950 (or 117944 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 37.

The square root of 2046726640 is about 45240.7630351213. The cubic root of 2046726640 is about 1269.6575926065.

The spelling of 2046726640 in words is "two billion, forty-six million, seven hundred twenty-six thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 56 62 70 80 112 124 140 155 217 248 280 310 434 496 560 620 868 1085 1240 1736 2170 2480 3472 4340 8680 17360 117899 235798 471596 589495 825293 943192 1178990 1650586 1886384 2357980 3301172 3654869 4126465 4715960 6602344 7309738 8252930 9431920 13204688 14619476 16505860 18274345 25584083 29238952 33011720 36548690 51168166 58477904 66023440 73097380 102336332 127920415 146194760 204672664 255840830 292389520 409345328 511681660 1023363320 2046726640