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4820640 = 253511283
BaseRepresentation
bin10010011000111010100000
3100001220200020
4102120322200
52213230030
6251153440
755655226
oct22307240
910056606
104820640
1127a2900
121745880
13cca266
148d6b16
15653510
hex498ea0

4820640 has 144 divisors (see below), whose sum is σ = 16892064. Its totient is φ = 1154560.

The previous prime is 4820633. The next prime is 4820653. The reversal of 4820640 is 460284.

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 4820640.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58039 + ... + 58121.

It is an arithmetic number, because the mean of its divisors is an integer number (117306).

Almost surely, 24820640 is an apocalyptic number.

4820640 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 4820640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8446032).

4820640 is an abundant number, since it is smaller than the sum of its proper divisors (12071424).

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

4820640 is a wasteful number, since it uses less digits than its factorization.

4820640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 4820640 is about 2195.5955911779. The cubic root of 4820640 is about 168.9279713595.

It can be divided in two parts, 4820 and 640, that added together give a triangular number (5460 = T104).

The spelling of 4820640 in words is "four million, eight hundred twenty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 83 88 96 110 120 121 132 160 165 166 176 220 240 242 249 264 330 332 352 363 415 440 480 484 498 528 605 660 664 726 830 880 913 968 996 1056 1210 1245 1320 1328 1452 1660 1760 1815 1826 1936 1992 2420 2490 2640 2656 2739 2904 3320 3630 3652 3872 3984 4565 4840 4980 5280 5478 5808 6640 7260 7304 7968 9130 9680 9960 10043 10956 11616 13280 13695 14520 14608 18260 19360 19920 20086 21912 27390 29040 29216 30129 36520 39840 40172 43824 50215 54780 58080 60258 73040 80344 87648 100430 109560 120516 146080 150645 160688 200860 219120 241032 301290 321376 401720 438240 482064 602580 803440 964128 1205160 1606880 2410320 4820640