Search a number
-
+
3123745000 = 23542321181
BaseRepresentation
bin1011101000110000…
…1001000011101000
322001200212200120021
42322030021003220
522344134320000
61233544410224
7140260252165
oct27214110350
98050780507
103123745000
1113632aa942
12732176974
133aa21cc2c
14218c1906c
1513438911a
hexba3090e8

3123745000 has 120 divisors (see below), whose sum is σ = 7657462890. Its totient is φ = 1194160000.

The previous prime is 3123744937. The next prime is 3123745007. The reversal of 3123745000 is 5473213.

It can be written as a sum of positive squares in 5 ways, for example, as 378613764 + 2745131236 = 19458^2 + 52394^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (3123745007) 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 29 ways as a sum of consecutive naturals, for example, 2644410 + ... + 2645590.

Almost surely, 23123745000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3123745000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3828731445).

3123745000 is an abundant number, since it is smaller than the sum of its proper divisors (4533717890).

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

3123745000 is a wasteful number, since it uses less digits than its factorization.

3123745000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 3123745000 is about 55890.4732490252. The cubic root of 3123745000 is about 1461.8131286470.

The spelling of 3123745000 in words is "three billion, one hundred twenty-three million, seven hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 184 200 230 250 460 500 529 575 625 920 1000 1058 1150 1181 1250 2116 2300 2362 2500 2645 2875 4232 4600 4724 5000 5290 5750 5905 9448 10580 11500 11810 13225 14375 21160 23000 23620 26450 27163 28750 29525 47240 52900 54326 57500 59050 66125 105800 108652 115000 118100 132250 135815 147625 217304 236200 264500 271630 295250 330625 529000 543260 590500 624749 661250 679075 738125 1086520 1181000 1249498 1322500 1358150 1476250 2498996 2645000 2716300 2952500 3123745 3395375 4997992 5432600 5905000 6247490 6790750 12494980 13581500 15618725 16976875 24989960 27163000 31237450 33953750 62474900 67907500 78093625 124949800 135815000 156187250 312374500 390468125 624749000 780936250 1561872500 3123745000