Search a number
-
+
4963920 = 2435133743
BaseRepresentation
bin10010111011111001010000
3100100012012220
4102323321100
52232321140
6254221040
760123033
oct22737120
910305186
104963920
112890515
1217b4780
13104a540
1493301a
15680bd0
hex4bbe50

4963920 has 160 divisors (see below), whose sum is σ = 17415552. Its totient is φ = 1161216.

The previous prime is 4963909. The next prime is 4963943. The reversal of 4963920 is 293694.

4963920 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115419 + ... + 115461.

Almost surely, 24963920 is an apocalyptic number.

4963920 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 4963920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8707776).

4963920 is an abundant number, since it is smaller than the sum of its proper divisors (12451632).

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

4963920 is a wasteful number, since it uses less digits than its factorization.

4963920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 4963920 is about 2227.9856372966. The cubic root of 4963920 is about 170.5852951395.

The spelling of 4963920 in words is "four million, nine hundred sixty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 37 39 40 43 48 52 60 65 74 78 80 86 104 111 120 129 130 148 156 172 185 195 208 215 222 240 258 260 296 312 344 370 390 430 444 481 516 520 555 559 592 624 645 688 740 780 860 888 962 1032 1040 1110 1118 1290 1443 1480 1560 1591 1677 1720 1776 1924 2064 2220 2236 2405 2580 2795 2886 2960 3120 3182 3354 3440 3848 4440 4472 4773 4810 5160 5590 5772 6364 6708 7215 7696 7955 8385 8880 8944 9546 9620 10320 11180 11544 12728 13416 14430 15910 16770 19092 19240 20683 22360 23088 23865 25456 26832 28860 31820 33540 38184 38480 41366 44720 47730 57720 62049 63640 67080 76368 82732 95460 103415 115440 124098 127280 134160 165464 190920 206830 248196 310245 330928 381840 413660 496392 620490 827320 992784 1240980 1654640 2481960 4963920