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4140056600 = 235283461541
BaseRepresentation
bin1111011011000100…
…0100000000011000
3101200112020122222122
43312301010000120
531434323302400
61522451440412
7204410620601
oct36661040030
911615218878
104140056600
111834a54889
129765b6108
1350c94b744
142b3bb0da8
151936dd685
hexf6c44018

4140056600 has 96 divisors (see below), whose sum is σ = 9780780240. Its totient is φ = 1629504000.

The previous prime is 4140056593. The next prime is 4140056629. The reversal of 4140056600 is 66500414.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4140056600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7652330 + ... + 7652870.

Almost surely, 24140056600 is an apocalyptic number.

4140056600 is a gapful number since it is divisible by the number (40) 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 4140056600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4890390120).

4140056600 is an abundant number, since it is smaller than the sum of its proper divisors (5640723640).

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

4140056600 is a wasteful number, since it uses less digits than its factorization.

4140056600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 4140056600 is about 64343.2715985129. The cubic root of 4140056600 is about 1605.7160910791.

The spelling of 4140056600 in words is "four billion, one hundred forty million, fifty-six thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 83 100 166 200 332 415 461 541 664 830 922 1082 1660 1844 2075 2164 2305 2705 3320 3688 4150 4328 4610 5410 8300 9220 10820 11525 13525 16600 18440 21640 23050 27050 38263 44903 46100 54100 76526 89806 92200 108200 153052 179612 191315 224515 249401 306104 359224 382630 449030 498802 765260 898060 956575 997604 1122575 1247005 1530520 1796120 1913150 1995208 2245150 2494010 3826300 4490300 4988020 6235025 7652600 8980600 9976040 12470050 20700283 24940100 41400566 49880200 82801132 103501415 165602264 207002830 414005660 517507075 828011320 1035014150 2070028300 4140056600