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102340200 = 23352281607
BaseRepresentation
bin1100001100110…
…01011001101000
321010120102100210
412012121121220
5202144341300
614053301120
72351606634
oct606313150
9233512323
10102340200
115284a786
122a3347a0
1318282a41
14d83ddc4
158eb8050
hex6199668

102340200 has 96 divisors (see below), whose sum is σ = 318908160. Its totient is φ = 27148800.

The previous prime is 102340177. The next prime is 102340201. The reversal of 102340200 is 2043201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (102340201) 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, 168297 + ... + 168903.

It is an arithmetic number, because the mean of its divisors is an integer number (3321960).

Almost surely, 2102340200 is an apocalyptic number.

102340200 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 102340200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159454080).

102340200 is an abundant number, since it is smaller than the sum of its proper divisors (216567960).

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

102340200 is a wasteful number, since it uses less digits than its factorization.

102340200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 102340200 is about 10116.3333278417. Note that the first 4 decimals coincide. The cubic root of 102340200 is about 467.7517494112.

Adding to 102340200 its reverse (2043201), we get a palindrome (104383401).

The spelling of 102340200 in words is "one hundred two million, three hundred forty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 281 300 562 600 607 843 1124 1214 1405 1686 1821 2248 2428 2810 3035 3372 3642 4215 4856 5620 6070 6744 7025 7284 8430 9105 11240 12140 14050 14568 15175 16860 18210 21075 24280 28100 30350 33720 36420 42150 45525 56200 60700 72840 84300 91050 121400 168600 170567 182100 341134 364200 511701 682268 852835 1023402 1364536 1705670 2046804 2558505 3411340 4093608 4264175 5117010 6822680 8528350 10234020 12792525 17056700 20468040 25585050 34113400 51170100 102340200