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42000090 = 23511137929
BaseRepresentation
bin1010000000110…
…1111011011010
32221000211021220
42200031323122
541223000330
64100112510
71016665146
oct240157332
987024256
1042000090
1121787320
1212095736
138917032
145814226
153a49710
hex280deda

42000090 has 64 divisors (see below), whose sum is σ = 110885760. Its totient is φ = 10096640.

The previous prime is 42000073. The next prime is 42000107. The reversal of 42000090 is 9000024.

42000090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42000073) and next prime (42000107).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44746 + ... + 45674.

It is an arithmetic number, because the mean of its divisors is an integer number (1732590).

Almost surely, 242000090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42000090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55442880).

42000090 is an abundant number, since it is smaller than the sum of its proper divisors (68885670).

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

42000090 is a wasteful number, since it uses less digits than its factorization.

42000090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 42000090 is about 6480.7476420549. The cubic root of 42000090 is about 347.6029127761.

The spelling of 42000090 in words is "forty-two million, ninety", and thus it is an aban number and an uban number.

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 137 165 274 330 411 685 822 929 1370 1507 1858 2055 2787 3014 4110 4521 4645 5574 7535 9042 9290 10219 13935 15070 20438 22605 27870 30657 45210 51095 61314 102190 127273 153285 254546 306570 381819 636365 763638 1272730 1400003 1909095 2800006 3818190 4200009 7000015 8400018 14000030 21000045 42000090