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541640112 = 243132713203
BaseRepresentation
bin100000010010001…
…100010110110000
31101202012011112220
4200102030112300
52102124440422
6125425121040
716264602456
oct4022142660
91352164486
10541640112
11258818262
12131489180
13882a4310
1451d149d6
1532840e5c
hex2048c5b0

541640112 has 80 divisors (see below), whose sum is σ = 1512903168. Its totient is φ = 165991680.

The previous prime is 541640101. The next prime is 541640123. The reversal of 541640112 is 211046145.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (541640101) and next prime (541640123).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 167503 + ... + 170705.

Almost surely, 2541640112 is an apocalyptic number.

541640112 is a gapful number since it is divisible by the number (52) 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 541640112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756451584).

541640112 is an abundant number, since it is smaller than the sum of its proper divisors (971263056).

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

541640112 is a wasteful number, since it uses less digits than its factorization.

541640112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3498 (or 3492 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 541640112 is about 23273.1629135363. The cubic root of 541640112 is about 815.1488866964.

Adding to 541640112 its reverse (211046145), we get a palindrome (752686257).

The spelling of 541640112 in words is "five hundred forty-one million, six hundred forty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 271 312 542 624 813 1084 1626 2168 3203 3252 3523 4336 6406 6504 7046 9609 10569 12812 13008 14092 19218 21138 25624 28184 38436 41639 42276 51248 56368 76872 83278 84552 124917 153744 166556 169104 249834 333112 499668 666224 868013 999336 1736026 1998672 2604039 3472052 5208078 6944104 10416156 11284169 13888208 20832312 22568338 33852507 41664624 45136676 67705014 90273352 135410028 180546704 270820056 541640112