Search a number
-
+
4653920 = 255172959
BaseRepresentation
bin10001110000001101100000
322202102222102
4101300031200
52142411140
6243425532
754362165
oct21601540
98672872
104653920
112699617
1216852a8
13c6c3cb
1489206c
1561de15
hex470360

4653920 has 96 divisors (see below), whose sum is σ = 12247200. Its totient is φ = 1662976.

The previous prime is 4653919. The next prime is 4653923. The reversal of 4653920 is 293564.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4653923) 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, 78851 + ... + 78909.

It is an arithmetic number, because the mean of its divisors is an integer number (127575).

Almost surely, 24653920 is an apocalyptic number.

4653920 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 4653920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6123600).

4653920 is an abundant number, since it is smaller than the sum of its proper divisors (7593280).

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

4653920 is a wasteful number, since it uses less digits than its factorization.

4653920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 4653920 is about 2157.2946020421. The cubic root of 4653920 is about 166.9576428128.

The spelling of 4653920 in words is "four million, six hundred fifty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 29 32 34 40 58 59 68 80 85 116 118 136 145 160 170 232 236 272 290 295 340 464 472 493 544 580 590 680 928 944 986 1003 1160 1180 1360 1711 1888 1972 2006 2320 2360 2465 2720 3422 3944 4012 4640 4720 4930 5015 6844 7888 8024 8555 9440 9860 10030 13688 15776 16048 17110 19720 20060 27376 29087 32096 34220 39440 40120 54752 58174 68440 78880 80240 116348 136880 145435 160480 232696 273760 290870 465392 581740 930784 1163480 2326960 4653920