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103805442 = 23313295099
BaseRepresentation
bin1100010111111…
…11001000000010
321020022212022000
412023333020002
5203033233232
614144524430
72400221526
oct613771002
9236285260
10103805442
1153660624
122a920716
1318676950
14db01d86
1591a727c
hex62ff202

103805442 has 64 divisors (see below), whose sum is σ = 257040000. Its totient is φ = 30832704.

The previous prime is 103805441. The next prime is 103805497. The reversal of 103805442 is 244508301.

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

It is not an unprimeable number, because it can be changed into a prime (103805441) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 17809 + ... + 22907.

It is an arithmetic number, because the mean of its divisors is an integer number (4016250).

Almost surely, 2103805442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103805442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128520000).

103805442 is an abundant number, since it is smaller than the sum of its proper divisors (153234558).

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

103805442 is a wasteful number, since it uses less digits than its factorization.

103805442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5152 (or 5146 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 103805442 is about 10188.4955709859. The cubic root of 103805442 is about 469.9735038632.

The spelling of 103805442 in words is "one hundred three million, eight hundred five thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 29 39 54 58 78 87 117 174 234 261 351 377 522 702 754 783 1131 1566 2262 3393 5099 6786 10179 10198 15297 20358 30594 45891 66287 91782 132574 137673 147871 198861 275346 295742 397722 443613 596583 887226 1193166 1330839 1789749 1922323 2661678 3579498 3844646 3992517 5766969 7985034 11533938 17300907 34601814 51902721 103805442