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102239400 = 23352832053
BaseRepresentation
bin1100001100000…
…00110010101000
321010101022002110
412012000302220
5202133130100
614051202320
72351010024
oct606006250
9233338073
10102239400
1152790a7a
122a2a63a0
1318248bb3
14d815384
158e98250
hex6180ca8

102239400 has 96 divisors (see below), whose sum is σ = 320916960. Its totient is φ = 26922240.

The previous prime is 102239383. The next prime is 102239407. The reversal of 102239400 is 4932201.

It is not an unprimeable number, because it can be changed into a prime (102239407) 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, 48774 + ... + 50826.

It is an arithmetic number, because the mean of its divisors is an integer number (3342885).

Almost surely, 2102239400 is an apocalyptic number.

102239400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102239400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160458480).

102239400 is an abundant number, since it is smaller than the sum of its proper divisors (218677560).

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

102239400 is a wasteful number, since it uses less digits than its factorization.

102239400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2155 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 102239400 is about 10111.3500582266. The cubic root of 102239400 is about 467.5981282380.

The spelling of 102239400 in words is "one hundred two million, two hundred thirty-nine thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 83 100 120 150 166 200 249 300 332 415 498 600 664 830 996 1245 1660 1992 2053 2075 2490 3320 4106 4150 4980 6159 6225 8212 8300 9960 10265 12318 12450 16424 16600 20530 24636 24900 30795 41060 49272 49800 51325 61590 82120 102650 123180 153975 170399 205300 246360 307950 340798 410600 511197 615900 681596 851995 1022394 1231800 1363192 1703990 2044788 2555985 3407980 4089576 4259975 5111970 6815960 8519950 10223940 12779925 17039900 20447880 25559850 34079800 51119700 102239400