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90237820 = 22537197619
BaseRepresentation
bin1010110000011…
…10101101111100
320021210120000111
411120032231330
5141100102240
612542035404
72144003011
oct530165574
9207716014
1090237820
1146a34012
1226278b64
131590627a
14bdad708
157dc71ea
hex560eb7c

90237820 has 48 divisors (see below), whose sum is σ = 195924960. Its totient is φ = 34884864.

The previous prime is 90237817. The next prime is 90237841. The reversal of 90237820 is 2873209.

It is a congruent number.

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, 145471 + ... + 146089.

It is an arithmetic number, because the mean of its divisors is an integer number (4081770).

Almost surely, 290237820 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 90237820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97962480).

90237820 is an abundant number, since it is smaller than the sum of its proper divisors (105687140).

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

90237820 is a wasteful number, since it uses less digits than its factorization.

90237820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 90237820 is about 9499.3589257381. The cubic root of 90237820 is about 448.5348562515.

The spelling of 90237820 in words is "ninety million, two hundred thirty-seven thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 197 370 394 619 740 788 985 1238 1970 2476 3095 3940 6190 7289 12380 14578 22903 29156 36445 45806 72890 91612 114515 121943 145780 229030 243886 458060 487772 609715 1219430 2438860 4511891 9023782 18047564 22559455 45118910 90237820