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56540000 = 255411257
BaseRepresentation
bin1101011110101…
…1101101100000
310221101112022002
43113223231200
5103433240000
65335503132
71254403436
oct327535540
9127345262
1056540000
1129a08380
1216b27aa8
13b93812a
14771ad56
154e6c8d5
hex35ebb60

56540000 has 120 divisors (see below), whose sum is σ = 152332488. Its totient is φ = 20480000.

The previous prime is 56539999. The next prime is 56540047. The reversal of 56540000 is 4565.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 219872 + ... + 220128.

Almost surely, 256540000 is an apocalyptic number.

56540000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76166244).

56540000 is an abundant number, since it is smaller than the sum of its proper divisors (95792488).

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

56540000 is a wasteful number, since it uses less digits than its factorization.

56540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 56540000 is about 7519.3084788430. The cubic root of 56540000 is about 383.8120463289.

Adding to 56540000 its reverse (4565), we get a palindrome (56544565).

The spelling of 56540000 in words is "fifty-six million, five hundred forty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 257 275 352 400 440 500 514 550 625 800 880 1000 1028 1100 1250 1285 1375 1760 2000 2056 2200 2500 2570 2750 2827 4000 4112 4400 5000 5140 5500 5654 6425 6875 8224 8800 10000 10280 11000 11308 12850 13750 14135 20000 20560 22000 22616 25700 27500 28270 32125 41120 44000 45232 51400 55000 56540 64250 70675 90464 102800 110000 113080 128500 141350 160625 205600 220000 226160 257000 282700 321250 353375 452320 514000 565400 642500 706750 1028000 1130800 1285000 1413500 1766875 2261600 2570000 2827000 3533750 5140000 5654000 7067500 11308000 14135000 28270000 56540000