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540003772 = 2271110117359
BaseRepresentation
bin100000001011111…
…100110110111100
31101122010000220201
4200023330312330
52101220110042
6125330053244
716244646010
oct4013746674
91348100821
10540003772
112578aa910
12130a1a224
1387b50579
1451a0a540
153261b1b7
hex202fcdbc

540003772 has 48 divisors (see below), whose sum is σ = 1189923840. Its totient is φ = 208296000.

The previous prime is 540003749. The next prime is 540003773. The reversal of 540003772 is 277300045.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 540003772.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540003773) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22429 + ... + 39787.

It is an arithmetic number, because the mean of its divisors is an integer number (24790080).

Almost surely, 2540003772 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 540003772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594961920).

540003772 is an abundant number, since it is smaller than the sum of its proper divisors (649920068).

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

540003772 is a wasteful number, since it uses less digits than its factorization.

540003772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17482 (or 17480 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 28.

The square root of 540003772 is about 23237.9812376204. The cubic root of 540003772 is about 814.3271810450.

The spelling of 540003772 in words is "five hundred forty million, three thousand, seven hundred seventy-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 101 154 202 308 404 707 1111 1414 2222 2828 4444 7777 15554 17359 31108 34718 69436 121513 190949 243026 381898 486052 763796 1336643 1753259 2673286 3506518 5346572 7013036 12272813 19285849 24545626 38571698 49091252 77143396 135000943 270001886 540003772