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4064640 = 27352973
BaseRepresentation
bin1111100000010110000000
321122111122020
433200112000
52020032030
6223041440
746356156
oct17402600
97574566
104064640
112326908
121440280
13ac4118
1477b3d6
15554510
hex3e0580

4064640 has 128 divisors (see below), whose sum is σ = 13586400. Its totient is φ = 1032192.

The previous prime is 4064639. The next prime is 4064647. The reversal of 4064640 is 464604.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4064640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4064647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55644 + ... + 55716.

Almost surely, 24064640 is an apocalyptic number.

4064640 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 4064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6793200).

4064640 is an abundant number, since it is smaller than the sum of its proper divisors (9521760).

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

4064640 is a wasteful number, since it uses less digits than its factorization.

4064640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4064640 is about 2016.0952358458. The cubic root of 4064640 is about 159.5906201107.

The spelling of 4064640 in words is "four million, sixty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 73 80 87 96 116 120 128 145 146 160 174 192 219 232 240 290 292 320 348 365 384 435 438 464 480 580 584 640 696 730 870 876 928 960 1095 1160 1168 1392 1460 1740 1752 1856 1920 2117 2190 2320 2336 2784 2920 3480 3504 3712 4234 4380 4640 4672 5568 5840 6351 6960 7008 8468 8760 9280 9344 10585 11136 11680 12702 13920 14016 16936 17520 18560 21170 23360 25404 27840 28032 31755 33872 35040 42340 46720 50808 55680 63510 67744 70080 84680 101616 127020 135488 140160 169360 203232 254040 270976 338720 406464 508080 677440 812928 1016160 1354880 2032320 4064640