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540209740 = 2257231271321
BaseRepresentation
bin100000001100101…
…111001001001100
31101122111111110011
4200030233021030
52101243202430
6125334323004
716246464340
oct4014571114
91348444404
10540209740
11257a30634
12130ab9464
1387bc3245
1451a61620
153265c22a
hex2032f24c

540209740 has 96 divisors (see below), whose sum is σ = 1364557824. Its totient is φ = 175633920.

The previous prime is 540209737. The next prime is 540209743. The reversal of 540209740 is 47902045.

It is an interprime number because it is at equal distance from previous prime (540209737) and next prime (540209743).

It is not an unprimeable number, because it can be changed into a prime (540209743) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 408280 + ... + 409600.

It is an arithmetic number, because the mean of its divisors is an integer number (14214144).

Almost surely, 2540209740 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 540209740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682278912).

540209740 is an abundant number, since it is smaller than the sum of its proper divisors (824348084).

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

540209740 is a wasteful number, since it uses less digits than its factorization.

540209740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 540209740 is about 23242.4125253813. The cubic root of 540209740 is about 814.4307013224.

The spelling of 540209740 in words is "five hundred forty million, two hundred nine thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 127 140 161 230 254 322 460 508 635 644 805 889 1270 1321 1610 1778 2540 2642 2921 3220 3556 4445 5284 5842 6605 8890 9247 11684 13210 14605 17780 18494 20447 26420 29210 30383 36988 40894 46235 58420 60766 81788 92470 102235 121532 151915 167767 184940 204470 212681 303830 335534 408940 425362 607660 671068 838835 850724 1063405 1174369 1677670 2126810 2348738 3355340 3858641 4253620 4697476 5871845 7717282 11743690 15434564 19293205 23487380 27010487 38586410 54020974 77172820 108041948 135052435 270104870 540209740