Search a number
-
+
1353104928 = 253276111003
BaseRepresentation
bin101000010100110…
…1011111000100000
310111022002212000100
41100221223320200
510232343324203
6342133422400
745350126220
oct12051537040
93438085010
101353104928
1163487983a
1231919aa00
1318743c706
14cb9c6080
157dbceea3
hex50a6be20

1353104928 has 144 divisors (see below), whose sum is σ = 4470088896. Its totient is φ = 380229120.

The previous prime is 1353104917. The next prime is 1353104933. The reversal of 1353104928 is 8294013531.

1353104928 is a `hidden beast` number, since 135 + 31 + 0 + 492 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1353104892 and 1353104901.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117475 + ... + 128477.

It is an arithmetic number, because the mean of its divisors is an integer number (31042284).

Almost surely, 21353104928 is an apocalyptic number.

1353104928 is a gapful number since it is divisible by the number (18) 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 1353104928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2235044448).

1353104928 is an abundant number, since it is smaller than the sum of its proper divisors (3116983968).

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

1353104928 is a wasteful number, since it uses less digits than its factorization.

1353104928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11087 (or 11076 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1353104928 is about 36784.5745931634. The cubic root of 1353104928 is about 1106.0561084299.

The spelling of 1353104928 in words is "one billion, three hundred fifty-three million, one hundred four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 61 63 72 84 96 112 122 126 144 168 183 224 244 252 288 336 366 427 488 504 549 672 732 854 976 1008 1098 1281 1464 1708 1952 2016 2196 2562 2928 3416 3843 4392 5124 5856 6832 7686 8784 10248 11003 13664 15372 17568 20496 22006 30744 33009 40992 44012 61488 66018 77021 88024 99027 122976 132036 154042 176048 198054 231063 264072 308084 352096 396108 462126 528144 616168 671183 693189 792216 924252 1056288 1232336 1342366 1386378 1584432 1848504 2013549 2464672 2684732 2772756 3168864 3697008 4027098 4698281 5369464 5545512 6040647 7394016 8054196 9396562 10738928 11091024 12081294 14094843 16108392 18793124 21477856 22182048 24162588 28189686 32216784 37586248 42284529 48325176 56379372 64433568 75172496 84569058 96650352 112758744 150344992 169138116 193300704 225517488 338276232 451034976 676552464 1353104928