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2153640424 = 2313191397841
BaseRepresentation
bin1000000001011101…
…1111000111101000
312120002110021021011
42000113133013220
513402312443144
6553411553304
7104240433025
oct20027370750
95502407234
102153640424
11a05745a21
125012bb834
1328424c260
1416605054c
15c9110a34
hex805df1e8

2153640424 has 64 divisors (see below), whose sum is σ = 4611096000. Its totient is φ = 934778880.

The previous prime is 2153640413. The next prime is 2153640449. The reversal of 2153640424 is 4240463512.

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, 270744 + ... + 278584.

It is an arithmetic number, because the mean of its divisors is an integer number (72048375).

Almost surely, 22153640424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2153640424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2305548000).

2153640424 is an abundant number, since it is smaller than the sum of its proper divisors (2457455576).

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

2153640424 is a wasteful number, since it uses less digits than its factorization.

2153640424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8018 (or 8014 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The square root of 2153640424 is about 46407.3315759482. The cubic root of 2153640424 is about 1291.3909288475.

The spelling of 2153640424 in words is "two billion, one hundred fifty-three million, six hundred forty thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 139 152 247 278 494 556 988 1112 1807 1976 2641 3614 5282 7228 7841 10564 14456 15682 21128 31364 34333 62728 68666 101933 137332 148979 203866 274664 297958 407732 595916 815464 1089899 1191832 1936727 2179798 3873454 4359596 7746908 8719192 14168687 15493816 20708081 28337374 41416162 56674748 82832324 113349496 165664648 269205053 538410106 1076820212 2153640424