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2151352240 = 245291635689
BaseRepresentation
bin1000000000111011…
…0000011110110000
312112221011000110121
42000032300132300
513401221232430
6553250540024
7104212122652
oct20016603660
95487130417
102151352240
11a04422864
12500597614
1328392a8bb
14165a166d2
15c8d0ca7a
hex803b07b0

2151352240 has 80 divisors (see below), whose sum is σ = 5207032800. Its totient is φ = 825624576.

The previous prime is 2151352183. The next prime is 2151352249. The reversal of 2151352240 is 422531512.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2151352249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 375316 + ... + 381004.

It is an arithmetic number, because the mean of its divisors is an integer number (65087910).

Almost surely, 22151352240 is an apocalyptic number.

2151352240 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 2151352240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2603516400).

2151352240 is an abundant number, since it is smaller than the sum of its proper divisors (3055680560).

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

2151352240 is a wasteful number, since it uses less digits than its factorization.

2151352240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5894 (or 5888 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 2151352240 is about 46382.6717643561. The cubic root of 2151352240 is about 1290.9334109381.

Adding to 2151352240 its reverse (422531512), we get a palindrome (2573883752).

The spelling of 2151352240 in words is "two billion, one hundred fifty-one million, three hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 163 232 290 326 464 580 652 815 1160 1304 1630 2320 2608 3260 4727 5689 6520 9454 11378 13040 18908 22756 23635 28445 37816 45512 47270 56890 75632 91024 94540 113780 164981 189080 227560 329962 378160 455120 659924 824905 927307 1319848 1649810 1854614 2639696 3299620 3709228 4636535 6599240 7418456 9273070 13198480 14836912 18546140 26891903 37092280 53783806 74184560 107567612 134459515 215135224 268919030 430270448 537838060 1075676120 2151352240