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2124032240 = 245115345541
BaseRepresentation
bin111111010011010…
…0010100011110000
312111000202000110202
41332212202203300
513322223012430
6550433214332
7103430655551
oct17646424360
95430660422
102124032240
1199aa62950
124b34013a8
1327b083715
14162144328
15c6712d45
hex7e9a28f0

2124032240 has 80 divisors (see below), whose sum is σ = 5489086176. Its totient is φ = 757785600.

The previous prime is 2124032233. The next prime is 2124032263. The reversal of 2124032240 is 422304212.

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 (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23870 + ... + 69410.

Almost surely, 22124032240 is an apocalyptic number.

2124032240 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 2124032240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2744543088).

2124032240 is an abundant number, since it is smaller than the sum of its proper divisors (3365053936).

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

2124032240 is a wasteful number, since it uses less digits than its factorization.

2124032240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45618 (or 45612 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2124032240 is about 46087.2242600919. The cubic root of 2124032240 is about 1285.4455983630.

Adding to 2124032240 its reverse (422304212), we get a palindrome (2546336452).

The spelling of 2124032240 in words is "two billion, one hundred twenty-four million, thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 53 55 80 88 106 110 176 212 220 265 424 440 530 583 848 880 1060 1166 2120 2332 2915 4240 4664 5830 9328 11660 23320 45541 46640 91082 182164 227705 364328 455410 500951 728656 910820 1001902 1821640 2003804 2413673 2504755 3643280 4007608 4827346 5009510 8015216 9654692 10019020 12068365 19309384 20038040 24136730 26550403 38618768 40076080 48273460 53100806 96546920 106201612 132752015 193093840 212403224 265504030 424806448 531008060 1062016120 2124032240