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2140773272 = 2311293972113
BaseRepresentation
bin111111110011001…
…1001101110011000
312112012020112211222
41333212121232120
513341014221042
6552232111212
7104023162331
oct17746315630
95465215758
102140773272
119a9457710
124b8b35508
13281695661
14164461288
15c7e1d2d2
hex7f999b98

2140773272 has 64 divisors (see below), whose sum is σ = 4543408800. Its totient is φ = 936714240.

The previous prime is 2140773259. The next prime is 2140773307. The reversal of 2140773272 is 2723770412.

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, 1012088 + ... + 1014200.

Almost surely, 22140773272 is an apocalyptic number.

2140773272 is a gapful number since it is divisible by the number (22) 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 2140773272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2271704400).

2140773272 is an abundant number, since it is smaller than the sum of its proper divisors (2402635528).

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

2140773272 is a wasteful number, since it uses less digits than its factorization.

2140773272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2556 (or 2552 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 35.

The square root of 2140773272 is about 46268.4911359772. The cubic root of 2140773272 is about 1288.8139393838.

The spelling of 2140773272 in words is "two billion, one hundred forty million, seven hundred seventy-three thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 232 319 397 638 794 1276 1588 2113 2552 3176 4226 4367 8452 8734 11513 16904 17468 23026 23243 34936 46052 46486 61277 92104 92972 122554 126643 185944 245108 253286 490216 506572 674047 838861 1013144 1348094 1677722 2696188 3355444 5392376 6710888 9227471 18454942 24326969 36909884 48653938 73819768 97307876 194615752 267596659 535193318 1070386636 2140773272