Search a number
-
+
2328705960 = 2335719913931
BaseRepresentation
bin1000101011001101…
…0011101110101000
320000021212112000220
42022303103232220
514232122042320
61023024130040
7111464450130
oct21263235650
96007775026
102328705960
11a95548289
1254ba66920
132b15b6129
141813c1ac0
15d9691e40
hex8acd3ba8

2328705960 has 128 divisors (see below), whose sum is σ = 8024832000. Its totient is φ = 529562880.

The previous prime is 2328705959. The next prime is 2328705971. The reversal of 2328705960 is 695078232.

2328705960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 160195 + ... + 174125.

It is an arithmetic number, because the mean of its divisors is an integer number (62694000).

Almost surely, 22328705960 is an apocalyptic number.

2328705960 is a gapful number since it is divisible by the number (20) 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 2328705960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4012416000).

2328705960 is an abundant number, since it is smaller than the sum of its proper divisors (5696126040).

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

2328705960 is a wasteful number, since it uses less digits than its factorization.

2328705960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14151 (or 14147 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 2328705960 is about 48256.6675185927. The cubic root of 2328705960 is about 1325.4750327110.

The spelling of 2328705960 in words is "two billion, three hundred twenty-eight million, seven hundred five thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 199 210 280 398 420 597 796 840 995 1194 1393 1592 1990 2388 2786 2985 3980 4179 4776 5572 5970 6965 7960 8358 11144 11940 13930 13931 16716 20895 23880 27860 27862 33432 41790 41793 55720 55724 69655 83580 83586 97517 111448 139310 167160 167172 195034 208965 278620 292551 334344 390068 417930 487585 557240 585102 780136 835860 975170 1170204 1462755 1671720 1950340 2340408 2772269 2925510 3900680 5544538 5851020 8316807 11089076 11702040 13861345 16633614 19405883 22178152 27722690 33267228 38811766 41584035 55445380 58217649 66534456 77623532 83168070 97029415 110890760 116435298 155247064 166336140 194058830 232870596 291088245 332672280 388117660 465741192 582176490 776235320 1164352980 2328705960