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540682450 = 252711217751
BaseRepresentation
bin100000001110100…
…010100011010010
31101200101111212221
4200032202203102
52101403314300
6125352411254
716253503450
oct4016424322
91350344787
10540682450
11258223800
121310a6b2a
138802a459
1451b459d0
153270231a
hex203a28d2

540682450 has 144 divisors (see below), whose sum is σ = 1339414272. Its totient is φ = 158400000.

The previous prime is 540682427. The next prime is 540682451. The reversal of 540682450 is 54286045.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (540682451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 719575 + ... + 720325.

It is an arithmetic number, because the mean of its divisors is an integer number (9301488).

Almost surely, 2540682450 is an apocalyptic number.

540682450 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

540682450 is an abundant number, since it is smaller than the sum of its proper divisors (798731822).

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

540682450 is a wasteful number, since it uses less digits than its factorization.

540682450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

The square root of 540682450 is about 23252.5794268077. The cubic root of 540682450 is about 814.6681876590.

The spelling of 540682450 in words is "five hundred forty million, six hundred eighty-two thousand, four hundred fifty".

Divisors: 1 2 5 7 10 11 14 17 22 25 34 35 50 55 70 77 85 110 119 121 154 170 175 187 238 242 275 350 374 385 425 550 595 605 751 770 847 850 935 1190 1210 1309 1502 1694 1870 1925 2057 2618 2975 3025 3755 3850 4114 4235 4675 5257 5950 6050 6545 7510 8261 8470 9350 10285 10514 12767 13090 14399 16522 18775 20570 21175 25534 26285 28798 32725 37550 41305 42350 51425 52570 57827 63835 65450 71995 82610 89369 90871 102850 115654 127670 131425 140437 143990 178738 181742 206525 262850 280874 289135 319175 359975 413050 446845 454355 578270 636097 638350 702185 719950 893690 908710 983059 1272194 1404370 1445675 1544807 1966118 2234225 2271775 2891350 3089614 3180485 3510925 4468450 4543550 4915295 6360970 7021850 7724035 9830590 10813649 15448070 15902425 21627298 24576475 31804850 38620175 49152950 54068245 77240350 108136490 270341225 540682450