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541310040 = 23345167071
BaseRepresentation
bin100000010000111…
…011110001011000
31101201120101210000
4200100323301120
52102033410130
6125414053000
716262026245
oct4020736130
91351511700
10541310040
11258612277
1213134a160
13881b9ccb
1451c6a5cc
15327c8260
hex2043bc58

541310040 has 80 divisors (see below), whose sum is σ = 1819414080. Its totient is φ = 144348480.

The previous prime is 541310009. The next prime is 541310053. The reversal of 541310040 is 40013145.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 541309995 and 541310022.

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, 80296 + ... + 86775.

It is an arithmetic number, because the mean of its divisors is an integer number (22742676).

Almost surely, 2541310040 is an apocalyptic number.

It is an amenable number.

541310040 is an abundant number, since it is smaller than the sum of its proper divisors (1278104040).

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

541310040 is a wasteful number, since it uses less digits than its factorization.

541310040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167094 (or 167081 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 541310040 is about 23266.0705749811. The cubic root of 541310040 is about 814.9832708875.

Adding to 541310040 its reverse (40013145), we get a palindrome (581323185).

The spelling of 541310040 in words is "five hundred forty-one million, three hundred ten thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 167071 334142 501213 668284 835355 1002426 1336568 1503639 1670710 2004852 2506065 3007278 3341420 4009704 4510917 5012130 6014556 6682840 7518195 9021834 10024260 12029112 13532751 15036390 18043668 20048520 22554585 27065502 30072780 36087336 45109170 54131004 60145560 67663755 90218340 108262008 135327510 180436680 270655020 541310040