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540980544 = 263131931123
BaseRepresentation
bin100000001111101…
…011010101000000
31101200221122210110
4200033223111000
52101442334134
6125403031320
716256154516
oct4017532500
91350848713
10540980544
11258407765
1213120b540
1388103040
1451bc24b6
15327607e9
hex203eb540

540980544 has 112 divisors (see below), whose sum is σ = 1550814272. Its totient is φ = 165445632.

The previous prime is 540980509. The next prime is 540980567. The reversal of 540980544 is 445089045.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 481167 + ... + 482289.

It is an arithmetic number, because the mean of its divisors is an integer number (13846556).

Almost surely, 2540980544 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 540980544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775407136).

540980544 is an abundant number, since it is smaller than the sum of its proper divisors (1009833728).

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

540980544 is a wasteful number, since it uses less digits than its factorization.

540980544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 540980544 is about 23258.9884560787. The cubic root of 540980544 is about 814.8178769284.

The spelling of 540980544 in words is "five hundred forty million, nine hundred eighty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 193 208 312 386 416 579 624 772 832 1123 1158 1248 1544 2246 2316 2496 2509 3088 3369 4492 4632 5018 6176 6738 7527 8984 9264 10036 12352 13476 14599 15054 17968 18528 20072 26952 29198 30108 35936 37056 40144 43797 53904 58396 60216 71872 80288 87594 107808 116792 120432 160576 175188 215616 216739 233584 240864 350376 433478 467168 481728 650217 700752 866956 934336 1300434 1401504 1733912 2600868 2803008 2817607 3467824 5201736 5635214 6935648 8452821 10403472 11270428 13871296 16905642 20806944 22540856 33811284 41613888 45081712 67622568 90163424 135245136 180326848 270490272 540980544