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2141504240 = 245234724763
BaseRepresentation
bin111111110100100…
…1100001011110000
312112020121200112212
41333221030023300
513341211113430
6552255511252
7104032325411
oct17751141360
95466550485
102141504240
119a9906917
124b9228528
13281890295
141645b1808
15c8014b95
hex7fa4c2f0

2141504240 has 80 divisors (see below), whose sum is σ = 5306231808. Its totient is φ = 801892608.

The previous prime is 2141504237. The next prime is 2141504243. The reversal of 2141504240 is 424051412.

It is an interprime number because it is at equal distance from previous prime (2141504237) and next prime (2141504243).

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

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141504243) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 74099 + ... + 98861.

Almost surely, 22141504240 is an apocalyptic number.

2141504240 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 2141504240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2653115904).

2141504240 is an abundant number, since it is smaller than the sum of its proper divisors (3164727568).

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

2141504240 is a wasteful number, since it uses less digits than its factorization.

2141504240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24846 (or 24840 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 2141504240 is about 46276.3896603873. The cubic root of 2141504240 is about 1288.9606113917.

Adding to 2141504240 its reverse (424051412), we get a palindrome (2565555652).

The spelling of 2141504240 in words is "two billion, one hundred forty-one million, five hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 47 80 92 94 115 184 188 230 235 368 376 460 470 752 920 940 1081 1840 1880 2162 3760 4324 5405 8648 10810 17296 21620 24763 43240 49526 86480 99052 123815 198104 247630 396208 495260 569549 990520 1139098 1163861 1981040 2278196 2327722 2847745 4556392 4655444 5695490 5819305 9112784 9310888 11390980 11638610 18621776 22781960 23277220 26768803 45563920 46554440 53537606 93108880 107075212 133844015 214150424 267688030 428300848 535376060 1070752120 2141504240