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3640020 = 22351931103
BaseRepresentation
bin1101111000101011010100
320211221011120
431320223110
51412440040
6210003540
742640206
oct15705324
96757146
103640020
11206688a
1212765b0
139a5a77
146aa776
154bd7d0
hex378ad4

3640020 has 96 divisors (see below), whose sum is σ = 11182080. Its totient is φ = 881280.

The previous prime is 3640019. The next prime is 3640027. The reversal of 3640020 is 200463.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3640027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35289 + ... + 35391.

It is an arithmetic number, because the mean of its divisors is an integer number (116480).

Almost surely, 23640020 is an apocalyptic number.

3640020 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 3640020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5591040).

3640020 is an abundant number, since it is smaller than the sum of its proper divisors (7542060).

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

3640020 is a wasteful number, since it uses less digits than its factorization.

3640020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3640020 is about 1907.8836442509. The cubic root of 3640020 is about 153.8277153543.

Adding to 3640020 its reverse (200463), we get a palindrome (3840483).

The spelling of 3640020 in words is "three million, six hundred forty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 31 38 57 60 62 76 93 95 103 114 124 155 186 190 206 228 285 309 310 372 380 412 465 515 570 589 618 620 930 1030 1140 1178 1236 1545 1767 1860 1957 2060 2356 2945 3090 3193 3534 3914 5871 5890 6180 6386 7068 7828 8835 9579 9785 11742 11780 12772 15965 17670 19158 19570 23484 29355 31930 35340 38316 39140 47895 58710 60667 63860 95790 117420 121334 182001 191580 242668 303335 364002 606670 728004 910005 1213340 1820010 3640020