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2150410140 = 223356316311
BaseRepresentation
bin1000000000101100…
…1010011110011100
312112212101011011000
42000023022132130
513401001111030
6553214430300
7104201120214
oct20013123634
95485334130
102150410140
11a03939a6a
12500202390
1328368ab48
1416584d244
15c8bc3860
hex802ca79c

2150410140 has 96 divisors (see below), whose sum is σ = 6701829120. Its totient is φ = 572443200.

The previous prime is 2150410133. The next prime is 2150410147. The reversal of 2150410140 is 410140512.

2150410140 is a `hidden beast` number, since 21 + 504 + 1 + 0 + 140 = 666.

It is an interprime number because it is at equal distance from previous prime (2150410133) and next prime (2150410147).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2150410147) 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, 337585 + ... + 343895.

It is an arithmetic number, because the mean of its divisors is an integer number (69810720).

Almost surely, 22150410140 is an apocalyptic number.

2150410140 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 2150410140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3350914560).

2150410140 is an abundant number, since it is smaller than the sum of its proper divisors (4551418980).

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

2150410140 is a wasteful number, since it uses less digits than its factorization.

2150410140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6960 (or 6952 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2150410140 is about 46372.5149199394. The cubic root of 2150410140 is about 1290.7449456069.

Adding to 2150410140 its reverse (410140512), we get a palindrome (2560550652).

The spelling of 2150410140 in words is "two billion, one hundred fifty million, four hundred ten thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 631 1262 1893 2524 3155 3786 5679 6310 6311 7572 9465 11358 12620 12622 17037 18930 18933 22716 25244 28395 31555 34074 37860 37866 56790 56799 63110 68148 75732 85185 94665 113580 113598 126220 170370 170397 189330 227196 283995 340740 340794 378660 567990 681588 851985 1135980 1703970 3407940 3982241 7964482 11946723 15928964 19911205 23893446 35840169 39822410 47786892 59733615 71680338 79644820 107520507 119467230 143360676 179200845 215041014 238934460 358401690 430082028 537602535 716803380 1075205070 2150410140