Search a number
-
+
90982820 = 22573101617
BaseRepresentation
bin1010110110001…
…00100110100100
320100012101222002
411123010212210
5141242422240
613010024432
72153225015
oct533044644
9210171862
1090982820
11473a2815
1226578118
1315b073b6
14c12500c
157ec2d15
hex56c49a4

90982820 has 48 divisors (see below), whose sum is σ = 195915888. Its totient is φ = 35481600.

The previous prime is 90982819. The next prime is 90982847. The reversal of 90982820 is 2828909.

It can be written as a sum of positive squares in 8 ways, for example, as 238144 + 90744676 = 488^2 + 9526^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147152 + ... + 147768.

It is an arithmetic number, because the mean of its divisors is an integer number (4081581).

Almost surely, 290982820 is an apocalyptic number.

It is an amenable number.

90982820 is an abundant number, since it is smaller than the sum of its proper divisors (104933068).

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

90982820 is a wasteful number, since it uses less digits than its factorization.

90982820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 90982820 is about 9538.4914949902. The cubic root of 90982820 is about 449.7658370193.

The spelling of 90982820 in words is "ninety million, nine hundred eighty-two thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 73 101 146 202 292 365 404 505 617 730 1010 1234 1460 2020 2468 3085 6170 7373 12340 14746 29492 36865 45041 62317 73730 90082 124634 147460 180164 225205 249268 311585 450410 623170 900820 1246340 4549141 9098282 18196564 22745705 45491410 90982820