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2120238990 = 23458929411
BaseRepresentation
bin111111001100000…
…0100011110001110
312110202121022010000
41332120010132032
513320240121430
6550220025130
7103353506532
oct17630043616
95422538100
102120238990
11998901a31
124b20921a6
1327a355cac
14161837bc2
15c6213e60
hex7e60478e

2120238990 has 80 divisors (see below), whose sum is σ = 5765340240. Its totient is φ = 559025280.

The previous prime is 2120238983. The next prime is 2120239003. The reversal of 2120238990 is 998320212.

2120238990 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 57385 + ... + 86795.

It is an arithmetic number, because the mean of its divisors is an integer number (72066753).

Almost surely, 22120238990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120238990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2882670120).

2120238990 is an abundant number, since it is smaller than the sum of its proper divisors (3645101250).

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

2120238990 is a wasteful number, since it uses less digits than its factorization.

2120238990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29519 (or 29510 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2120238990 is about 46046.0529253051. The cubic root of 2120238990 is about 1284.6799285590.

The spelling of 2120238990 in words is "two billion, one hundred twenty million, two hundred thirty-eight thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 89 90 135 162 178 267 270 405 445 534 801 810 890 1335 1602 2403 2670 4005 4806 7209 8010 12015 14418 24030 29411 36045 58822 72090 88233 147055 176466 264699 294110 441165 529398 794097 882330 1323495 1588194 2382291 2617579 2646990 3970485 4764582 5235158 7852737 7940970 11911455 13087895 15705474 23558211 23822910 26175790 39263685 47116422 70674633 78527370 117791055 141349266 212023899 235582110 353373165 424047798 706746330 1060119495 2120238990