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540279480 = 233513226641
BaseRepresentation
bin100000001101000…
…000001010111000
31101122122001010010
4200031000022320
52101302420410
6125340021520
716250204556
oct4015001270
91348561103
10540279480
11257a78a74
12130b318a0
1387c18c00
1451a7cbd6
1532672c20
hex203402b8

540279480 has 96 divisors (see below), whose sum is σ = 1755174960. Its totient is φ = 132986880.

The previous prime is 540279469. The next prime is 540279511. The reversal of 540279480 is 84972045.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6960 + ... + 33600.

Almost surely, 2540279480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540279480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877587480).

540279480 is an abundant number, since it is smaller than the sum of its proper divisors (1214895480).

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

540279480 is a wasteful number, since it uses less digits than its factorization.

540279480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26681 (or 26664 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 540279480 is about 23243.9127515141. The cubic root of 540279480 is about 814.4657469407.

The spelling of 540279480 in words is "five hundred forty million, two hundred seventy-nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 169 195 260 312 338 390 507 520 676 780 845 1014 1352 1560 1690 2028 2535 3380 4056 5070 6760 10140 20280 26641 53282 79923 106564 133205 159846 213128 266410 319692 346333 399615 532820 639384 692666 799230 1038999 1065640 1385332 1598460 1731665 2077998 2770664 3196920 3463330 4155996 4502329 5194995 6926660 8311992 9004658 10389990 13506987 13853320 18009316 20779980 22511645 27013974 36018632 41559960 45023290 54027948 67534935 90046580 108055896 135069870 180093160 270139740 540279480