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401202540 = 223257131393
BaseRepresentation
bin10111111010011…
…101110101101100
31000221221012102100
4113322131311230
51310201440130
6103451055100
712641110464
oct2772356554
91027835370
10401202540
11196517452
12b2441490
1365172a6b
143b3d8ba4
152534ec60
hex17e9dd6c

401202540 has 72 divisors (see below), whose sum is σ = 1234160928. Its totient is φ = 105477120.

The previous prime is 401202521. The next prime is 401202553. The reversal of 401202540 is 45202104.

401202540 is a `hidden beast` number, since 4 + 0 + 120 + 2 + 540 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2917 + ... + 28476.

It is an arithmetic number, because the mean of its divisors is an integer number (17141124).

Almost surely, 2401202540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401202540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617080464).

401202540 is an abundant number, since it is smaller than the sum of its proper divisors (832958388).

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

401202540 is a wasteful number, since it uses less digits than its factorization.

401202540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31479 (or 31474 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 401202540 is about 20030.0409385503. The cubic root of 401202540 is about 737.5439269057.

Adding to 401202540 its reverse (45202104), we get a palindrome (446404644).

The spelling of 401202540 in words is "four hundred one million, two hundred two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 71 90 142 180 213 284 355 426 639 710 852 1065 1278 1420 2130 2556 3195 4260 6390 12780 31393 62786 94179 125572 156965 188358 282537 313930 376716 470895 565074 627860 941790 1130148 1412685 1883580 2228903 2825370 4457806 5650740 6686709 8915612 11144515 13373418 20060127 22289030 26746836 33433545 40120254 44578060 66867090 80240508 100300635 133734180 200601270 401202540