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2124030040 = 235115998059
BaseRepresentation
bin111111010011010…
…0010000001011000
312111000201220110021
41332212202001120
513322222430130
6550433200224
7103430646256
oct17646420130
95430656407
102124030040
1199aa61230
124b3400074
1327b082712
141621435d6
15c671237a
hex7e9a2058

2124030040 has 64 divisors (see below), whose sum is σ = 5222880000. Its totient is φ = 770989440.

The previous prime is 2124030037. The next prime is 2124030043. The reversal of 2124030040 is 400304212.

It is an interprime number because it is at equal distance from previous prime (2124030037) and next prime (2124030043).

It is a super-2 number, since 2×21240300402 = 9023007221644803200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2124029996 and 2124030023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2124030043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 259531 + ... + 267589.

It is an arithmetic number, because the mean of its divisors is an integer number (81607500).

Almost surely, 22124030040 is an apocalyptic number.

2124030040 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 2124030040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2611440000).

2124030040 is an abundant number, since it is smaller than the sum of its proper divisors (3098849960).

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

2124030040 is a wasteful number, since it uses less digits than its factorization.

2124030040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8680 (or 8676 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2124030040 is about 46087.2003922998. The cubic root of 2124030040 is about 1285.4451545560.

Adding to 2124030040 its reverse (400304212), we get a palindrome (2524334252).

The spelling of 2124030040 in words is "two billion, one hundred twenty-four million, thirty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 599 1198 2396 2995 4792 5990 6589 8059 11980 13178 16118 23960 26356 32236 32945 40295 52712 64472 65890 80590 88649 131780 161180 177298 263560 322360 354596 443245 709192 886490 1772980 3545960 4827341 9654682 19309364 24136705 38618728 48273410 53100751 96546820 106201502 193093640 212403004 265503755 424806008 531007510 1062015020 2124030040