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42369660 = 22325401587
BaseRepresentation
bin1010000110100…
…0001001111100
32221201121020200
42201220021330
541321312120
64112043500
71023064464
oct241501174
987647220
1042369660
1121a09a53
1212233590
138a16308
1458acba4
153abde90
hex286827c

42369660 has 72 divisors (see below), whose sum is σ = 129061296. Its totient is φ = 11251200.

The previous prime is 42369659. The next prime is 42369671. The reversal of 42369660 is 6696324.

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

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 23 ways as a sum of consecutive naturals, for example, 71887 + ... + 72473.

It is an arithmetic number, because the mean of its divisors is an integer number (1792518).

Almost surely, 242369660 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 42369660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64530648).

42369660 is an abundant number, since it is smaller than the sum of its proper divisors (86691636).

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

42369660 is a wasteful number, since it uses less digits than its factorization.

42369660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 42369660 is about 6509.1981072940. The cubic root of 42369660 is about 348.6194871414.

The spelling of 42369660 in words is "forty-two million, three hundred sixty-nine thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 401 587 802 1174 1203 1604 1761 2005 2348 2406 2935 3522 3609 4010 4812 5283 5870 6015 7044 7218 8020 8805 10566 11740 12030 14436 17610 18045 21132 24060 26415 35220 36090 52830 72180 105660 235387 470774 706161 941548 1176935 1412322 2118483 2353870 2824644 3530805 4236966 4707740 7061610 8473932 10592415 14123220 21184830 42369660