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10540000 = 25541731
BaseRepresentation
bin101000001101…
…001111100000
3201211111011101
4220031033200
510144240000
61013524144
7155405602
oct50151740
921744141
1010540000
115a49949
123643654
1322505b3
141585172
15dd2e6a
hexa0d3e0

10540000 has 120 divisors (see below), whose sum is σ = 28340928. Its totient is φ = 3840000.

The previous prime is 10539979. The next prime is 10540001. The reversal of 10540000 is 4501.

It is a super-2 number, since 2×105400002 = 222183200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10540001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 339985 + ... + 340015.

Almost surely, 210540000 is an apocalyptic number.

10540000 is a gapful number since it is divisible by the number (10) 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 10540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14170464).

10540000 is an abundant number, since it is smaller than the sum of its proper divisors (17800928).

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

10540000 is an equidigital number, since it uses as much as digits as its factorization.

10540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 10540000 is about 3246.5366161496. The cubic root of 10540000 is about 219.2536693491.

Adding to 10540000 its reverse (4501), we get a palindrome (10544501).

The spelling of 10540000 in words is "ten million, five hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 31 32 34 40 50 62 68 80 85 100 124 125 136 155 160 170 200 248 250 272 310 340 400 425 496 500 527 544 620 625 680 775 800 850 992 1000 1054 1240 1250 1360 1550 1700 2000 2108 2125 2480 2500 2635 2720 3100 3400 3875 4000 4216 4250 4960 5000 5270 6200 6800 7750 8432 8500 10000 10540 10625 12400 13175 13600 15500 16864 17000 19375 20000 21080 21250 24800 26350 31000 34000 38750 42160 42500 52700 62000 65875 68000 77500 84320 85000 105400 124000 131750 155000 170000 210800 263500 310000 329375 340000 421600 527000 620000 658750 1054000 1317500 2108000 2635000 5270000 10540000