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20099088 = 2432294813
BaseRepresentation
bin100110010101…
…1000000010000
31101211010202200
41030223000100
520121132323
61554443200
7332560632
oct114530020
941733680
1020099088
1110388819
126893500
134219569
142952a52
151b70443
hex132b010

20099088 has 60 divisors (see below), whose sum is σ = 58201260. Its totient is φ = 6467328.

The previous prime is 20099077. The next prime is 20099089. The reversal of 20099088 is 88099002.

It can be written as a sum of positive squares in 2 ways, for example, as 12873744 + 7225344 = 3588^2 + 2688^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20099089) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1770 + ... + 6582.

It is an arithmetic number, because the mean of its divisors is an integer number (970021).

Almost surely, 220099088 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 20099088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29100630).

20099088 is an abundant number, since it is smaller than the sum of its proper divisors (38102172).

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

20099088 is a wasteful number, since it uses less digits than its factorization.

20099088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4856 (or 4847 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 20099088 is about 4483.2006423982. The cubic root of 20099088 is about 271.8893003972.

The spelling of 20099088 in words is "twenty million, ninety-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4176 4813 9626 14439 19252 28878 38504 43317 57756 77008 86634 115512 139577 173268 231024 279154 346536 418731 558308 693072 837462 1116616 1256193 1674924 2233232 2512386 3349848 5024772 6699696 10049544 20099088