Search a number
-
+
541823940 = 223257430019
BaseRepresentation
bin100000010010111…
…001001111000100
31101202112111201100
4200102321033010
52102201331230
6125433100100
716266266430
oct4022711704
91352474640
10541823940
11258933389
12131557630
1388339ba8
1451d619c0
153287a660
hex204b93c4

541823940 has 72 divisors (see below), whose sum is σ = 1878327360. Its totient is φ = 123845184.

The previous prime is 541823939. The next prime is 541823941. The reversal of 541823940 is 49328145.

541823940 is a `hidden beast` number, since 5 + 418 + 239 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (541823939) and next prime (541823941).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 541823895 and 541823904.

It is not an unprimeable number, because it can be changed into a prime (541823941) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 213750 + ... + 216269.

It is an arithmetic number, because the mean of its divisors is an integer number (26087880).

Almost surely, 2541823940 is an apocalyptic number.

It is an amenable number.

541823940 is an abundant number, since it is smaller than the sum of its proper divisors (1336503420).

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

541823940 is a wasteful number, since it uses less digits than its factorization.

541823940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430041 (or 430036 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 541823940 is about 23277.1119342585. Note that the first 3 decimals coincide. The cubic root of 541823940 is about 815.2410944417.

The spelling of 541823940 in words is "five hundred forty-one million, eight hundred twenty-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 430019 860038 1290057 1720076 2150095 2580114 3010133 3870171 4300190 5160228 6020266 6450285 7740342 8600380 9030399 12040532 12900570 15050665 15480684 18060798 19350855 25801140 27091197 30101330 36121596 38701710 45151995 54182394 60202660 77403420 90303990 108364788 135455985 180607980 270911970 541823940