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274836980 = 2251123372
BaseRepresentation
bin10000011000011…
…010110111110100
3201011011011110102
4100120122313310
51030324240410
643134413232
76545034665
oct2030326764
9634134412
10274836980
11131158100
1278061218
1344c2a642
142870336c
15191dd2a5
hex1061adf4

274836980 has 54 divisors (see below), whose sum is σ = 636284502. Its totient is φ = 99644160.

The previous prime is 274836949. The next prime is 274836983. The reversal of 274836980 is 89638472.

It can be written as a sum of positive squares in 3 ways, for example, as 1860496 + 272976484 = 1364^2 + 16522^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (274836983) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 815372 + ... + 815708.

Almost surely, 2274836980 is an apocalyptic number.

274836980 is a gapful number since it is divisible by the number (20) 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 274836980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318142251).

274836980 is an abundant number, since it is smaller than the sum of its proper divisors (361447522).

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

274836980 is a wasteful number, since it uses less digits than its factorization.

274836980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 47.

The square root of 274836980 is about 16578.2079851834. The cubic root of 274836980 is about 650.1671995911.

The spelling of 274836980 in words is "two hundred seventy-four million, eight hundred thirty-six thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 337 484 605 674 1210 1348 1685 2420 3370 3707 6740 7414 14828 18535 37070 40777 74140 81554 113569 163108 203885 227138 407770 454276 567845 815540 1135690 1249259 2271380 2498518 4997036 6246295 12492590 13741849 24985180 27483698 54967396 68709245 137418490 274836980