Search a number
-
+
4061640 = 23351117181
BaseRepresentation
bin1111011111100111001000
321122100112010
433133213020
52014433030
6223015520
746344342
oct17374710
97570463
104061640
112324630
12143a5a0
13ac294b
1477a292
155536b0
hex3df9c8

4061640 has 128 divisors (see below), whose sum is σ = 14152320. Its totient is φ = 921600.

The previous prime is 4061633. The next prime is 4061641. The reversal of 4061640 is 461604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4061641) 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, 22350 + ... + 22530.

It is an arithmetic number, because the mean of its divisors is an integer number (110565).

Almost surely, 24061640 is an apocalyptic number.

4061640 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 4061640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7076160).

4061640 is an abundant number, since it is smaller than the sum of its proper divisors (10090680).

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

4061640 is a wasteful number, since it uses less digits than its factorization.

4061640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 4061640 is about 2015.3510860394. The cubic root of 4061640 is about 159.5513472847.

The spelling of 4061640 in words is "four million, sixty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 17 20 22 24 30 33 34 40 44 51 55 60 66 68 85 88 102 110 120 132 136 165 170 181 187 204 220 255 264 330 340 362 374 408 440 510 543 561 660 680 724 748 905 935 1020 1086 1122 1320 1448 1496 1810 1870 1991 2040 2172 2244 2715 2805 3077 3620 3740 3982 4344 4488 5430 5610 5973 6154 7240 7480 7964 9231 9955 10860 11220 11946 12308 15385 15928 18462 19910 21720 22440 23892 24616 29865 30770 33847 36924 39820 46155 47784 59730 61540 67694 73848 79640 92310 101541 119460 123080 135388 169235 184620 203082 238920 270776 338470 369240 406164 507705 676940 812328 1015410 1353880 2030820 4061640