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99400 = 2352771
BaseRepresentation
bin11000010001001000
312001100111
4120101020
511140100
62044104
7562540
oct302110
9161314
1099400
1168754
1249634
1336322
1428320
151e6ba
hex18448

99400 has 48 divisors (see below), whose sum is σ = 267840. Its totient is φ = 33600.

The previous prime is 99397. The next prime is 99401. The reversal of 99400 is 499.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (99401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1365 + ... + 1435.

It is an arithmetic number, because the mean of its divisors is an integer number (5580).

299400 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 99400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133920).

99400 is an abundant number, since it is smaller than the sum of its proper divisors (168440).

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

99400 is a wasteful number, since it uses less digits than its factorization.

99400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 99400 is about 315.2776554087. The cubic root of 99400 is about 46.3228702745.

Adding to 99400 its reverse (499), we get a palindrome (99899).

It can be divided in two parts, 9 and 9400, that added together give a square (9409 = 972).

The spelling of 99400 in words is "ninety-nine thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 71 100 140 142 175 200 280 284 350 355 497 568 700 710 994 1400 1420 1775 1988 2485 2840 3550 3976 4970 7100 9940 12425 14200 19880 24850 49700 99400