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4830720 = 29351737
BaseRepresentation
bin10010011011011000000000
3100002102111120
4102123120000
52214040340
6251312240
756026506
oct22333000
910072446
104830720
1127aa434
12174b680
131001a1b
148da676
156564d0
hex49b600

4830720 has 160 divisors (see below), whose sum is σ = 16793568. Its totient is φ = 1179648.

The previous prime is 4830719. The next prime is 4830751. The reversal of 4830720 is 270384.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is an Ulam number.

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130542 + ... + 130578.

Almost surely, 24830720 is an apocalyptic number.

4830720 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 4830720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8396784).

4830720 is an abundant number, since it is smaller than the sum of its proper divisors (11962848).

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

4830720 is a wasteful number, since it uses less digits than its factorization.

4830720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 4830720 is about 2197.8898971514. The cubic root of 4830720 is about 169.0456326711.

The spelling of 4830720 in words is "four million, eight hundred thirty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 37 40 48 51 60 64 68 74 80 85 96 102 111 120 128 136 148 160 170 185 192 204 222 240 255 256 272 296 320 340 370 384 408 444 480 510 512 544 555 592 629 640 680 740 768 816 888 960 1020 1088 1110 1184 1258 1280 1360 1480 1536 1632 1776 1887 1920 2040 2176 2220 2368 2516 2560 2720 2960 3145 3264 3552 3774 3840 4080 4352 4440 4736 5032 5440 5920 6290 6528 7104 7548 7680 8160 8704 8880 9435 9472 10064 10880 11840 12580 13056 14208 15096 16320 17760 18870 18944 20128 21760 23680 25160 26112 28416 30192 32640 35520 37740 40256 43520 47360 50320 56832 60384 65280 71040 75480 80512 94720 100640 120768 130560 142080 150960 161024 201280 241536 284160 301920 322048 402560 483072 603840 805120 966144 1207680 1610240 2415360 4830720