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274937980 = 225192961409
BaseRepresentation
bin10000011000110…
…011100001111100
3201011100022000011
4100120303201330
51030341003410
643140513004
76545635312
oct2030634174
9634308004
10274937980
11131216a79
12780ab764
1344c645c5
142872c0b2
151920d18a
hex1063387c

274937980 has 96 divisors (see below), whose sum is σ = 640584000. Its totient is φ = 98703360.

The previous prime is 274937947. The next prime is 274937989. The reversal of 274937980 is 89739472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (274937989) by changing a digit.

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, 672016 + ... + 672424.

It is an arithmetic number, because the mean of its divisors is an integer number (6672750).

Almost surely, 2274937980 is an apocalyptic number.

274937980 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 274937980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320292000).

274937980 is an abundant number, since it is smaller than the sum of its proper divisors (365646020).

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

274937980 is a wasteful number, since it uses less digits than its factorization.

274937980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 49.

The square root of 274937980 is about 16581.2538729735. The cubic root of 274937980 is about 650.2468332765.

The spelling of 274937980 in words is "two hundred seventy-four million, nine hundred thirty-seven thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 19 20 29 38 58 61 76 95 116 122 145 190 244 290 305 380 409 551 580 610 818 1102 1159 1220 1636 1769 2045 2204 2318 2755 3538 4090 4636 5510 5795 7076 7771 8180 8845 11020 11590 11861 15542 17690 23180 23722 24949 31084 33611 35380 38855 47444 49898 59305 67222 77710 99796 118610 124745 134444 155420 168055 225359 237220 249490 336110 450718 474031 498980 672220 723521 901436 948062 1126795 1447042 1896124 2253590 2370155 2894084 3617605 4507180 4740310 7235210 9480620 13746899 14470420 27493798 54987596 68734495 137468990 274937980