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4684023120 = 243573189939
BaseRepresentation
bin1000101110011000…
…01000010101010000
3110002102211000202210
410113030020111100
534043102214440
62052442512120
7224034353040
oct42714102520
913072730683
104684023120
111a94010997
12aa8805640
1359855891a
1432612d720
151c633da80
hex117308550

4684023120 has 160 divisors (see below), whose sum is σ = 17130332160. Its totient is φ = 1036085760.

The previous prime is 4684023083. The next prime is 4684023143. The reversal of 4684023120 is 213204864.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 7111 + ... + 97049.

It is an arithmetic number, because the mean of its divisors is an integer number (107064576).

Almost surely, 24684023120 is an apocalyptic number.

4684023120 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 4684023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8565166080).

4684023120 is an abundant number, since it is smaller than the sum of its proper divisors (12446309040).

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

4684023120 is a wasteful number, since it uses less digits than its factorization.

4684023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89993 (or 89987 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 4684023120 is about 68439.9234365440. The cubic root of 4684023120 is about 1673.1684883175.

Adding to 4684023120 its reverse (213204864), we get a palindrome (4897227984).

The spelling of 4684023120 in words is "four billion, six hundred eighty-four million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 31 35 40 42 48 56 60 62 70 80 84 93 105 112 120 124 140 155 168 186 210 217 240 248 280 310 336 372 420 434 465 496 560 620 651 744 840 868 930 1085 1240 1302 1488 1680 1736 1860 2170 2480 2604 3255 3472 3720 4340 5208 6510 7440 8680 10416 13020 17360 26040 52080 89939 179878 269817 359756 449695 539634 629573 719512 899390 1079268 1259146 1349085 1439024 1798780 1888719 2158536 2518292 2698170 2788109 3147865 3597560 3777438 4317072 5036584 5396340 5576218 6295730 7195120 7554876 8364327 9443595 10073168 10792680 11152436 12591460 13940545 15109752 16728654 18887190 19516763 21585360 22304872 25182920 27881090 30219504 33457308 37774380 39033526 41821635 44609744 50365840 55762180 58550289 66914616 75548760 78067052 83643270 97583815 111524360 117100578 133829232 151097520 156134104 167286540 195167630 223048720 234201156 292751445 312268208 334573080 390335260 468402312 585502890 669146160 780670520 936804624 1171005780 1561341040 2342011560 4684023120