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540203070 = 2351123103691
BaseRepresentation
bin100000001100101…
…101100000111110
31101122111011022010
4200030231200332
52101242444240
6125334232050
716246436031
oct4014554076
91348434263
10540203070
11257a26620
12130ab5626
1387bc01b4
1451a5d018
153265a280
hex2032d83e

540203070 has 128 divisors (see below), whose sum is σ = 1492328448. Its totient is φ = 123868800.

The previous prime is 540203063. The next prime is 540203099. The reversal of 540203070 is 70302045.

It is a happy number.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 781425 + ... + 782115.

It is an arithmetic number, because the mean of its divisors is an integer number (11658816).

Almost surely, 2540203070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540203070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746164224).

540203070 is an abundant number, since it is smaller than the sum of its proper divisors (952125378).

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

540203070 is a wasteful number, since it uses less digits than its factorization.

540203070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838.

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 540203070 is about 23242.2690372519. The cubic root of 540203070 is about 814.4273493681.

The spelling of 540203070 in words is "five hundred forty million, two hundred three thousand, seventy".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 55 66 69 103 110 115 138 165 206 230 253 309 330 345 506 515 618 690 691 759 1030 1133 1265 1382 1518 1545 2073 2266 2369 2530 3090 3399 3455 3795 4146 4738 5665 6798 6910 7107 7590 7601 10365 11330 11845 14214 15202 15893 16995 20730 22803 23690 26059 31786 33990 35535 38005 45606 47679 52118 71070 71173 76010 78177 79465 95358 114015 130295 142346 156354 158930 174823 213519 228030 238395 260590 349646 355865 390885 427038 476790 524469 711730 781770 782903 874115 1048938 1067595 1565806 1636979 1748230 2135190 2348709 2622345 3273958 3914515 4697418 4910937 5244690 7829030 8184895 9821874 11743545 16369790 18006769 23487090 24554685 36013538 49109370 54020307 90033845 108040614 180067690 270101535 540203070