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274638980 = 2257111391283
BaseRepresentation
bin10000010111101…
…010100010000100
3201010210002212002
4100113222202010
51030301421410
643130244432
76543251510
oct2027524204
9633702762
10274638980
11131032370
1277b86718
1344b8b495
1428691140
151919e7a5
hex105ea884

274638980 has 96 divisors (see below), whose sum is σ = 724792320. Its totient is φ = 84919680.

The previous prime is 274638967. The next prime is 274638983. The reversal of 274638980 is 89836472.

It is not an unprimeable number, because it can be changed into a prime (274638983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213419 + ... + 214701.

It is an arithmetic number, because the mean of its divisors is an integer number (7549920).

Almost surely, 2274638980 is an apocalyptic number.

274638980 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 274638980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362396160).

274638980 is an abundant number, since it is smaller than the sum of its proper divisors (450153340).

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

274638980 is a wasteful number, since it uses less digits than its factorization.

274638980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1449 (or 1447 counting only the distinct ones).

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

The square root of 274638980 is about 16572.2352143578. The cubic root of 274638980 is about 650.0110293986.

The spelling of 274638980 in words is "two hundred seventy-four million, six hundred thirty-eight thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 139 140 154 220 278 308 385 556 695 770 973 1283 1390 1529 1540 1946 2566 2780 3058 3892 4865 5132 6116 6415 7645 8981 9730 10703 12830 14113 15290 17962 19460 21406 25660 28226 30580 35924 42812 44905 53515 56452 70565 89810 98791 107030 141130 178337 179620 197582 214060 282260 356674 395164 493955 713348 891685 987910 1248359 1783370 1961707 1975820 2496718 3566740 3923414 4993436 6241795 7846828 9808535 12483590 13731949 19617070 24967180 27463898 39234140 54927796 68659745 137319490 274638980