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2054232414 = 234132274297
BaseRepresentation
bin111101001110001…
…0001100101011110
312022011101211010000
41322130101211132
513201340414124
6535501155130
7101622454533
oct17234214536
95264354100
102054232414
11964619243
12493b5baa6
13269785050
14156b74d8a
15c05266c9
hex7a71195e

2054232414 has 80 divisors (see below), whose sum is σ = 4980075408. Its totient is φ = 629140608.

The previous prime is 2054232413. The next prime is 2054232449. The reversal of 2054232414 is 4142324502.

2054232414 is a `hidden beast` number, since 205 + 42 + 3 + 2 + 414 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2054232413) 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 39 ways as a sum of consecutive naturals, for example, 475914 + ... + 480210.

Almost surely, 22054232414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2054232414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2490037704).

2054232414 is an abundant number, since it is smaller than the sum of its proper divisors (2925842994).

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

2054232414 is a wasteful number, since it uses less digits than its factorization.

2054232414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4551 (or 4542 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 2054232414 is about 45323.6407849149. The cubic root of 2054232414 is about 1271.2077324292.

Adding to 2054232414 its reverse (4142324502), we get a palindrome (6196556916).

The spelling of 2054232414 in words is "two billion, fifty-four million, two hundred thirty-two thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 227 234 351 454 681 702 1053 1362 2043 2106 2951 4086 4297 5902 6129 8594 8853 12258 12891 17706 18387 25782 26559 36774 38673 53118 55861 77346 79677 111722 116019 159354 167583 232038 239031 335166 348057 478062 502749 696114 975419 1005498 1508247 1950838 2926257 3016494 4524741 5852514 8778771 9049482 12680447 17557542 25360894 26336313 38041341 52672626 76082682 79008939 114124023 158017878 228248046 342372069 684744138 1027116207 2054232414