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4683674240 = 27571576659
BaseRepresentation
bin1000101110010101…
…10011001010000000
3110002102011022012022
410113022303022000
534043010033430
62052431221012
7224031400640
oct42712631200
913072138168
104683674240
111a938a2863
12aa8677768
13598465b9b
1432607c520
151c62c04e5
hex1172b3280

4683674240 has 128 divisors (see below), whose sum is σ = 12879907200. Its totient is φ = 1595363328.

The previous prime is 4683674239. The next prime is 4683674243. The reversal of 4683674240 is 424763864.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 4683674191 and 4683674200.

It is not an unprimeable number, because it can be changed into a prime (4683674243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 700031 + ... + 706689.

It is an arithmetic number, because the mean of its divisors is an integer number (100624275).

Almost surely, 24683674240 is an apocalyptic number.

4683674240 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 4683674240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6439953600).

4683674240 is an abundant number, since it is smaller than the sum of its proper divisors (8196232960).

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

4683674240 is a wasteful number, since it uses less digits than its factorization.

4683674240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6842 (or 6830 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 44.

The square root of 4683674240 is about 68437.3745843600. The cubic root of 4683674240 is about 1673.1269464278.

The spelling of 4683674240 in words is "four billion, six hundred eighty-three million, six hundred seventy-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 157 160 224 280 314 320 448 560 628 640 785 896 1099 1120 1256 1570 2198 2240 2512 3140 4396 4480 5024 5495 6280 6659 8792 10048 10990 12560 13318 17584 20096 21980 25120 26636 33295 35168 43960 46613 50240 53272 66590 70336 87920 93226 100480 106544 133180 140672 175840 186452 213088 233065 266360 351680 372904 426176 466130 532720 703360 745808 852352 932260 1045463 1065440 1491616 1864520 2090926 2130880 2983232 3729040 4181852 4261760 5227315 5966464 7318241 7458080 8363704 10454630 14636482 14916160 16727408 20909260 29272964 29832320 33454816 36591205 41818520 58545928 66909632 73182410 83637040 117091856 133819264 146364820 167274080 234183712 292729640 334548160 468367424 585459280 669096320 936734848 1170918560 2341837120 4683674240