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99000036 = 22331376691
BaseRepresentation
bin1011110011010…
…01111011100100
320220021201112000
411321221323210
5200321000121
613453525300
72311325562
oct571517344
9226251460
1099000036
1150979213
12291a3830
1317683605
14d210a32
158a58526
hex5e69ee4

99000036 has 48 divisors (see below), whose sum is σ = 258578880. Its totient is φ = 32754240.

The previous prime is 99000029. The next prime is 99000037. The reversal of 99000036 is 63000099.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 98999973 and 99000009.

It is not an unprimeable number, because it can be changed into a prime (99000037) 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, 11451 + ... + 18141.

It is an arithmetic number, because the mean of its divisors is an integer number (5387060).

Almost surely, 299000036 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 99000036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129289440).

99000036 is an abundant number, since it is smaller than the sum of its proper divisors (159578844).

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

99000036 is a wasteful number, since it uses less digits than its factorization.

99000036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6841 (or 6833 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 99000036 is about 9949.8761801341. The cubic root of 99000036 is about 462.6065569918.

The spelling of 99000036 in words is "ninety-nine million, thirty-six", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 137 274 411 548 822 1233 1644 2466 3699 4932 6691 7398 13382 14796 20073 26764 40146 60219 80292 120438 180657 240876 361314 722628 916667 1833334 2750001 3666668 5500002 8250003 11000004 16500006 24750009 33000012 49500018 99000036