Search a number
-
+
92020200 = 233521031489
BaseRepresentation
bin1010111110000…
…01110111101000
320102011002222120
411133001313220
5142024121300
613044151240
72165105316
oct537016750
9212132876
1092020200
1147a41158
1226998520
13160ab62c
14c3150b6
15812a3a0
hex57c1de8

92020200 has 96 divisors (see below), whose sum is σ = 288225600. Its totient is φ = 24284160.

The previous prime is 92020199. The next prime is 92020207. The reversal of 92020200 is 202029.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 92020200.

It is not an unprimeable number, because it can be changed into a prime (92020207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61056 + ... + 62544.

It is an arithmetic number, because the mean of its divisors is an integer number (3002350).

Almost surely, 292020200 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 92020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144112800).

92020200 is an abundant number, since it is smaller than the sum of its proper divisors (196205400).

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

92020200 is a wasteful number, since it uses less digits than its factorization.

92020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 92020200 is about 9592.7159866223. The cubic root of 92020200 is about 451.4687809920.

Adding to 92020200 its reverse (202029), we get a palindrome (92222229).

The spelling of 92020200 in words is "ninety-two million, twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 103 120 150 200 206 300 309 412 515 600 618 824 1030 1236 1489 1545 2060 2472 2575 2978 3090 4120 4467 5150 5956 6180 7445 7725 8934 10300 11912 12360 14890 15450 17868 20600 22335 29780 30900 35736 37225 44670 59560 61800 74450 89340 111675 148900 153367 178680 223350 297800 306734 446700 460101 613468 766835 893400 920202 1226936 1533670 1840404 2300505 3067340 3680808 3834175 4601010 6134680 7668350 9202020 11502525 15336700 18404040 23005050 30673400 46010100 92020200