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3640140 = 223557107
BaseRepresentation
bin1101111000101101001100
320211221100000
431320231030
51412441030
6210004300
742640440
oct15705514
96757300
103640140
112066989
121276690
139a5b3a
146aa820
154bd860
hex378b4c

3640140 has 144 divisors (see below), whose sum is σ = 13208832. Its totient is φ = 824256.

The previous prime is 3640121. The next prime is 3640151. The reversal of 3640140 is 410463.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33967 + ... + 34073.

It is an arithmetic number, because the mean of its divisors is an integer number (91728).

Almost surely, 23640140 is an apocalyptic number.

3640140 is a gapful number since it is divisible by the number (30) 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 3640140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6604416).

3640140 is an abundant number, since it is smaller than the sum of its proper divisors (9568692).

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

3640140 is a wasteful number, since it uses less digits than its factorization.

3640140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3640140 is about 1907.9150924504. The cubic root of 3640140 is about 153.8294057409.

The spelling of 3640140 in words is "three million, six hundred forty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 107 108 126 135 140 162 180 189 210 214 243 252 270 315 321 324 378 405 420 428 486 535 540 567 630 642 749 756 810 945 963 972 1070 1134 1215 1260 1284 1498 1605 1620 1701 1890 1926 2140 2247 2268 2430 2835 2889 2996 3210 3402 3745 3780 3852 4494 4815 4860 5670 5778 6420 6741 6804 7490 8505 8667 8988 9630 11235 11340 11556 13482 14445 14980 17010 17334 19260 20223 22470 26001 26964 28890 33705 34020 34668 40446 43335 44940 52002 57780 60669 67410 80892 86670 101115 104004 121338 130005 134820 173340 182007 202230 242676 260010 303345 364014 404460 520020 606690 728028 910035 1213380 1820070 3640140