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2151341160 = 2335173892711
BaseRepresentation
bin1000000000111010…
…1101110001101000
312112221010110021020
42000032231301220
513401220404120
6553250412440
7104212045443
oct20016556150
95487113236
102151341160
11a04415501
12500591120
13283925847
14165a1265a
15c8d09640
hex803adc68

2151341160 has 128 divisors (see below), whose sum is σ = 6853766400. Its totient is φ = 538357760.

The previous prime is 2151341113. The next prime is 2151341161. The reversal of 2151341160 is 611431512.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2151341160.

It is not an unprimeable number, because it can be changed into a prime (2151341161) 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 31 ways as a sum of consecutive naturals, for example, 792205 + ... + 794915.

It is an arithmetic number, because the mean of its divisors is an integer number (53545050).

Almost surely, 22151341160 is an apocalyptic number.

2151341160 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 2151341160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3426883200).

2151341160 is an abundant number, since it is smaller than the sum of its proper divisors (4702425240).

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

2151341160 is a wasteful number, since it uses less digits than its factorization.

2151341160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3131 (or 3127 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 2151341160 is about 46382.5523230449. The cubic root of 2151341160 is about 1290.9311947247.

Adding to 2151341160 its reverse (611431512), we get a palindrome (2762772672).

The spelling of 2151341160 in words is "two billion, one hundred fifty-one million, three hundred forty-one thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 389 408 510 680 778 1020 1167 1556 1945 2040 2334 2711 3112 3890 4668 5422 5835 6613 7780 8133 9336 10844 11670 13226 13555 15560 16266 19839 21688 23340 26452 27110 32532 33065 39678 40665 46087 46680 52904 54220 65064 66130 79356 81330 92174 99195 108440 132260 138261 158712 162660 184348 198390 230435 264520 276522 325320 368696 396780 460870 553044 691305 793560 921740 1054579 1106088 1382610 1843480 2109158 2765220 3163737 4218316 5272895 5530440 6327474 8436632 10545790 12654948 15818685 17927843 21091580 25309896 31637370 35855686 42183160 53783529 63274740 71711372 89639215 107567058 126549480 143422744 179278430 215134116 268917645 358556860 430268232 537835290 717113720 1075670580 2151341160