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2153027240 = 2357132325717
BaseRepresentation
bin1000000001010100…
…1001011010101000
312120001022010010122
42000111021122220
513402133332430
6553350502412
7104232300230
oct20025113250
95501263118
102153027240
11a05367261
12501064a08
13284096120
14165d30cc0
15c903dee5
hex805496a8

2153027240 has 128 divisors (see below), whose sum is σ = 6221698560. Its totient is φ = 651746304.

The previous prime is 2153027087. The next prime is 2153027249. The reversal of 2153027240 is 427203512.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (2153027249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70862 + ... + 96578.

It is an arithmetic number, because the mean of its divisors is an integer number (48607020).

Almost surely, 22153027240 is an apocalyptic number.

2153027240 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 2153027240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3110849280).

2153027240 is an abundant number, since it is smaller than the sum of its proper divisors (4068671320).

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

2153027240 is a wasteful number, since it uses less digits than its factorization.

2153027240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25771 (or 25767 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 2153027240 is about 46400.7245633083. The cubic root of 2153027240 is about 1291.2683557056.

The spelling of 2153027240 in words is "two billion, one hundred fifty-three million, twenty-seven thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 23 26 28 35 40 46 52 56 65 70 91 92 104 115 130 140 161 182 184 230 260 280 299 322 364 455 460 520 598 644 728 805 910 920 1196 1288 1495 1610 1820 2093 2392 2990 3220 3640 4186 5980 6440 8372 10465 11960 16744 20930 25717 41860 51434 83720 102868 128585 180019 205736 257170 334321 360038 514340 591491 668642 720076 900095 1028680 1182982 1337284 1440152 1671605 1800190 2340247 2365964 2674568 2957455 3343210 3600380 4140437 4680494 4731928 5914910 6686420 7200760 7689383 8280874 9360988 11701235 11829820 13372840 15378766 16561748 18721976 20702185 23402470 23659640 30757532 33123496 38446915 41404370 46804940 53825681 61515064 76893830 82808740 93609880 107651362 153787660 165617480 215302724 269128405 307575320 430605448 538256810 1076513620 2153027240