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273978990 = 23352344119
BaseRepresentation
bin10000010101001…
…001011001101110
3201002112120112000
4100111021121232
51030114311430
643104153130
76534532365
oct2025113156
9632476460
10273978990
1113072151a
12779087a6
13449b9c5c
142855c7dc
15190bde60
hex1054966e

273978990 has 64 divisors (see below), whose sum is σ = 762393600. Its totient is φ = 69882912.

The previous prime is 273978983. The next prime is 273979003. The reversal of 273978990 is 99879372.

It is a super-2 number, since 2×2739789902 = 150128973922840200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 15850 + ... + 28269.

It is an arithmetic number, because the mean of its divisors is an integer number (11912400).

Almost surely, 2273978990 is an apocalyptic number.

273978990 is an abundant number, since it is smaller than the sum of its proper divisors (488414610).

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

273978990 is a wasteful number, since it uses less digits than its factorization.

273978990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44158 (or 44152 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The square root of 273978990 is about 16552.3107148217. The cubic root of 273978990 is about 649.4899272529.

Subtracting from 273978990 its sum of digits (54), we obtain a triangular number (273978936 = T23408).

The spelling of 273978990 in words is "two hundred seventy-three million, nine hundred seventy-eight thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 90 115 135 138 207 230 270 345 414 621 690 1035 1242 2070 3105 6210 44119 88238 132357 220595 264714 397071 441190 661785 794142 1014737 1191213 1323570 1985355 2029474 2382426 3044211 3970710 5073685 5956065 6088422 9132633 10147370 11912130 15221055 18265266 27397899 30442110 45663165 54795798 91326330 136989495 273978990