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139264200 = 23325277369
BaseRepresentation
bin10000100110100…
…00000011001000
3100201001100120100
420103100003020
5241122423300
621452525400
73310504035
oct1023200310
9321040510
10139264200
117167a289
123a780860
1322b1046a
14146d238c
15c35d700
hex84d00c8

139264200 has 72 divisors (see below), whose sum is σ = 467701650. Its totient is φ = 37136640.

The previous prime is 139264193. The next prime is 139264207. The reversal of 139264200 is 2462931.

139264200 is a `hidden beast` number, since 13 + 9 + 2 + 642 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (139264193) and next prime (139264207).

It can be written as a sum of positive squares in 3 ways, for example, as 55980324 + 83283876 = 7482^2 + 9126^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (139264207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 36885 + ... + 40484.

Almost surely, 2139264200 is an apocalyptic number.

139264200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

139264200 is an abundant number, since it is smaller than the sum of its proper divisors (328437450).

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

139264200 is a wasteful number, since it uses less digits than its factorization.

139264200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77391 (or 77379 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 139264200 is about 11801.0253791779. The cubic root of 139264200 is about 518.3381363363.

The spelling of 139264200 in words is "one hundred thirty-nine million, two hundred sixty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 77369 154738 232107 309476 386845 464214 618952 696321 773690 928428 1160535 1392642 1547380 1856856 1934225 2321070 2785284 3094760 3481605 3868450 4642140 5570568 5802675 6963210 7736900 9284280 11605350 13926420 15473800 17408025 23210700 27852840 34816050 46421400 69632100 139264200