[go: up one dir, main page]

Search a number
-
+
540088740 = 2232510329131
BaseRepresentation
bin100000001100010…
…001100110100100
31101122021100110200
4200030101212210
52101230314430
6125331550500
716245451512
oct4014214644
91348240420
10540088740
11257958734
12130a5b430
1387b80149
1451a2d4b2
1532636460
hex203119a4

540088740 has 72 divisors (see below), whose sum is σ = 1654231488. Its totient is φ = 142620480.

The previous prime is 540088739. The next prime is 540088751. The reversal of 540088740 is 47880045.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 540088695 and 540088704.

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, 3975 + ... + 33105.

Almost surely, 2540088740 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 540088740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827115744).

540088740 is an abundant number, since it is smaller than the sum of its proper divisors (1114142748).

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

540088740 is a wasteful number, since it uses less digits than its factorization.

540088740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29249 (or 29244 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 540088740 is about 23239.8093795969. The cubic root of 540088740 is about 814.3698894647.

The spelling of 540088740 in words is "five hundred forty million, eighty-eight thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 103 180 206 309 412 515 618 927 1030 1236 1545 1854 2060 3090 3708 4635 6180 9270 18540 29131 58262 87393 116524 145655 174786 262179 291310 349572 436965 524358 582620 873930 1048716 1310895 1747860 2621790 3000493 5243580 6000986 9001479 12001972 15002465 18002958 27004437 30004930 36005916 45007395 54008874 60009860 90014790 108017748 135022185 180029580 270044370 540088740