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90420744 = 23341432137
BaseRepresentation
bin1010110001110…
…11011000001000
320022010211221110
411120323120020
5141121430434
612550010320
72145364221
oct530733010
9208124843
1090420744
1147049497
12263469a0
131596b5cb
14c01a248
157e114e9
hex563b608

90420744 has 64 divisors (see below), whose sum is σ = 237061440. Its totient is φ = 28707840.

The previous prime is 90420697. The next prime is 90420749. The reversal of 90420744 is 44702409.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (90420749) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41244 + ... + 43380.

It is an arithmetic number, because the mean of its divisors is an integer number (3704085).

Almost surely, 290420744 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 90420744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118530720).

90420744 is an abundant number, since it is smaller than the sum of its proper divisors (146640696).

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

90420744 is a wasteful number, since it uses less digits than its factorization.

90420744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2230 (or 2226 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 90420744 is about 9508.9822799288. The cubic root of 90420744 is about 448.8377315197.

The spelling of 90420744 in words is "ninety million, four hundred twenty thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 41 43 82 86 123 129 164 172 246 258 328 344 492 516 984 1032 1763 2137 3526 4274 5289 6411 7052 8548 10578 12822 14104 17096 21156 25644 42312 51288 87617 91891 175234 183782 262851 275673 350468 367564 525702 551346 700936 735128 1051404 1102692 2102808 2205384 3767531 7535062 11302593 15070124 22605186 30140248 45210372 90420744