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42201240 = 2335401877
BaseRepresentation
bin1010000011111…
…1000010011000
32221102001012220
42200333002120
541300414430
64104304040
71021463454
oct240770230
987361186
1042201240
1121904464
1212172020
138987763
145867664
153a89110
hex283f098

42201240 has 64 divisors (see below), whose sum is σ = 127064160. Its totient is φ = 11212800.

The previous prime is 42201239. The next prime is 42201281. The reversal of 42201240 is 4210224.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47682 + ... + 48558.

Almost surely, 242201240 is an apocalyptic number.

42201240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42201240 is an abundant number, since it is smaller than the sum of its proper divisors (84862920).

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

42201240 is a wasteful number, since it uses less digits than its factorization.

42201240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 42201240 is about 6496.2481479697. The cubic root of 42201240 is about 348.1569512665.

Adding to 42201240 its reverse (4210224), we get a palindrome (46411464).

It can be divided in two parts, 4220 and 1240, that added together give a triangular number (5460 = T104).

The spelling of 42201240 in words is "forty-two million, two hundred one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 401 802 877 1203 1604 1754 2005 2406 2631 3208 3508 4010 4385 4812 5262 6015 7016 8020 8770 9624 10524 12030 13155 16040 17540 21048 24060 26310 35080 48120 52620 105240 351677 703354 1055031 1406708 1758385 2110062 2813416 3516770 4220124 5275155 7033540 8440248 10550310 14067080 21100620 42201240