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2140324410 = 235722950207
BaseRepresentation
bin111111110010010…
…1100001000111010
312112011101202010110
41333210230020322
513340410340120
6552214325150
7104016312600
oct17744541072
95464352113
102140324410
119a9180454
124b89597b6
13281569263
14164385870
15c7d802e0
hex7f92c23a

2140324410 has 96 divisors (see below), whose sum is σ = 6181608960. Its totient is φ = 472338048.

The previous prime is 2140324397. The next prime is 2140324423. The reversal of 2140324410 is 144230412.

It is an interprime number because it is at equal distance from previous prime (2140324397) and next prime (2140324423).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17527 + ... + 67733.

It is an arithmetic number, because the mean of its divisors is an integer number (64391760).

Almost surely, 22140324410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2140324410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3090804480).

2140324410 is an abundant number, since it is smaller than the sum of its proper divisors (4041284550).

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

2140324410 is a wasteful number, since it uses less digits than its factorization.

2140324410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50260 (or 50253 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2140324410 is about 46263.6402588469. The cubic root of 2140324410 is about 1288.7238566635.

Adding to 2140324410 its reverse (144230412), we get a palindrome (2284554822).

The spelling of 2140324410 in words is "two billion, one hundred forty million, three hundred twenty-four thousand, four hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 49 58 70 87 98 105 145 147 174 203 210 245 290 294 406 435 490 609 735 870 1015 1218 1421 1470 2030 2842 3045 4263 6090 7105 8526 14210 21315 42630 50207 100414 150621 251035 301242 351449 502070 702898 753105 1054347 1456003 1506210 1757245 2108694 2460143 2912006 3514490 4368009 4920286 5271735 7280015 7380429 8736018 10192021 10543470 12300715 14560030 14760858 20384042 21840045 24601430 30576063 36902145 43680090 50960105 61152126 71344147 73804290 101920210 142688294 152880315 214032441 305760630 356720735 428064882 713441470 1070162205 2140324410