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274550540 = 2251123291871
BaseRepresentation
bin10000010111010…
…100111100001100
3201010121121112112
4100113110330030
51030241104130
643124323152
76542432615
oct2027247414
9633547475
10274550540
11130a81980
1277b434b8
1344b5a154
142866ac0c
1519183495
hex105d4f0c

274550540 has 96 divisors (see below), whose sum is σ = 679311360. Its totient is φ = 92153600.

The previous prime is 274550537. The next prime is 274550557. The reversal of 274550540 is 45055472.

It is a junction number, because it is equal to n+sod(n) for n = 274550497 and 274550506.

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, 145805 + ... + 147675.

It is an arithmetic number, because the mean of its divisors is an integer number (7076160).

Almost surely, 2274550540 is an apocalyptic number.

274550540 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 274550540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339655680).

274550540 is an abundant number, since it is smaller than the sum of its proper divisors (404760820).

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

274550540 is a wasteful number, since it uses less digits than its factorization.

274550540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1943 (or 1941 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 32.

The square root of 274550540 is about 16569.5666811175. The cubic root of 274550540 is about 649.9412491278.

The spelling of 274550540 in words is "two hundred seventy-four million, five hundred fifty thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 23 29 44 46 55 58 92 110 115 116 145 220 230 253 290 319 460 506 580 638 667 1012 1265 1276 1334 1595 1871 2530 2668 3190 3335 3742 5060 6380 6670 7337 7484 9355 13340 14674 18710 20581 29348 36685 37420 41162 43033 54259 73370 82324 86066 102905 108518 146740 172132 205810 215165 217036 271295 411620 430330 473363 542590 596849 860660 946726 1085180 1193698 1247957 1893452 2366815 2387396 2495914 2984245 4733630 4991828 5968490 6239785 9467260 11936980 12479570 13727527 24959140 27455054 54910108 68637635 137275270 274550540