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274728090 = 23571327741
BaseRepresentation
bin10000011000000…
…000010010011010
3201010221122002110
4100120000102122
51030312244330
643132213150
76544102350
oct2030002232
9633848073
10274728090
1113109330a
127800a1b6
1344bbcc00
14286b57d0
15191badb0
hex1060049a

274728090 has 96 divisors (see below), whose sum is σ = 816068736. Its totient is φ = 57957120.

The previous prime is 274728061. The next prime is 274728101. The reversal of 274728090 is 90827472.

274728090 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a zygodrome in base 13.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31620 + ... + 39360.

It is an arithmetic number, because the mean of its divisors is an integer number (8500716).

Almost surely, 2274728090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 274728090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408034368).

274728090 is an abundant number, since it is smaller than the sum of its proper divisors (541340646).

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

274728090 is a wasteful number, since it uses less digits than its factorization.

274728090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7784 (or 7771 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 274728090 is about 16574.9235292354. The cubic root of 274728090 is about 650.0813231584.

The spelling of 274728090 in words is "two hundred seventy-four million, seven hundred twenty-eight thousand, ninety".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 169 182 195 210 273 338 390 455 507 546 845 910 1014 1183 1365 1690 2366 2535 2730 3549 5070 5915 7098 7741 11830 15482 17745 23223 35490 38705 46446 54187 77410 100633 108374 116115 162561 201266 232230 270935 301899 325122 503165 541870 603798 704431 812805 1006330 1308229 1408862 1509495 1625610 2113293 2616458 3018990 3522155 3924687 4226586 6541145 7044310 7849374 9157603 10566465 13082290 18315206 19623435 21132930 27472809 39246870 45788015 54945618 91576030 137364045 274728090