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2053400024 = 2313211711297
BaseRepresentation
bin111101001100100…
…0110010111011000
312022002211112021202
41322121012113120
513201132300044
6535431253332
7101612416664
oct17231062730
95262745252
102053400024
119640aa915
1249381a248
13269553200
141569d98a4
15c040ec4e
hex7a6465d8

2053400024 has 48 divisors (see below), whose sum is σ = 4175847720. Its totient is φ = 946183680.

The previous prime is 2053399973. The next prime is 2053400033. The reversal of 2053400024 is 4200043502.

It is a junction number, because it is equal to n+sod(n) for n = 2053399969 and 2053400005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1582544 + ... + 1583840.

Almost surely, 22053400024 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 2053400024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2087923860).

2053400024 is an abundant number, since it is smaller than the sum of its proper divisors (2122447696).

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

2053400024 is a wasteful number, since it uses less digits than its factorization.

2053400024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2500 (or 2483 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 2053400024 is about 45314.4571191138. The cubic root of 2053400024 is about 1271.0360083420.

Adding to 2053400024 its reverse (4200043502), we get a palindrome (6253443526).

The spelling of 2053400024 in words is "two billion, fifty-three million, four hundred thousand, twenty-four".

Divisors: 1 2 4 8 13 26 52 104 169 338 676 1171 1297 1352 2342 2594 4684 5188 9368 10376 15223 16861 30446 33722 60892 67444 121784 134888 197899 219193 395798 438386 791596 876772 1518787 1583192 1753544 3037574 6075148 12150296 19744231 39488462 78976924 157953848 256675003 513350006 1026700012 2053400024