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90847040 = 265733889
BaseRepresentation
bin1010110101000…
…11011101000000
320022221111201012
411122203131000
5141224101130
613003100052
72152121114
oct532433500
9208844635
1090847040
114730a7a9
1226511628
1315a8a65b
14c0cb744
157e97995
hex56a3740

90847040 has 56 divisors (see below), whose sum is σ = 219349320. Its totient is φ = 35831808.

The previous prime is 90847039. The next prime is 90847051. The reversal of 90847040 is 4074809.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 18800896 + 72046144 = 4336^2 + 8488^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 90846988 and 90847006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21416 + ... + 25304.

Almost surely, 290847040 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 90847040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109674660).

90847040 is an abundant number, since it is smaller than the sum of its proper divisors (128502280).

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

90847040 is a wasteful number, since it uses less digits than its factorization.

90847040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3979 (or 3969 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 90847040 is about 9531.3713598831. The cubic root of 90847040 is about 449.5419866637.

The spelling of 90847040 in words is "ninety million, eight hundred forty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 73 80 146 160 292 320 365 584 730 1168 1460 2336 2920 3889 4672 5840 7778 11680 15556 19445 23360 31112 38890 62224 77780 124448 155560 248896 283897 311120 567794 622240 1135588 1244480 1419485 2271176 2838970 4542352 5677940 9084704 11355880 18169408 22711760 45423520 90847040