Search a number
-
+
103138944 = 273416551
BaseRepresentation
bin1100010010111…
…00011010000000
321012002000000220
412021130122000
5202400421234
614122343040
72361444426
oct611343200
9235060026
10103138944
11532458a7
122a65aa80
13184a247c
14d9ab116
1590c4a49
hex625c680

103138944 has 64 divisors (see below), whose sum is σ = 280687680. Its totient is φ = 33536000.

The previous prime is 103138927. The next prime is 103138951. The reversal of 103138944 is 449831301.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12469 + ... + 19019.

It is an arithmetic number, because the mean of its divisors is an integer number (4385745).

Almost surely, 2103138944 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 103138944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140343840).

103138944 is an abundant number, since it is smaller than the sum of its proper divisors (177548736).

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

103138944 is an equidigital number, since it uses as much as digits as its factorization.

103138944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6609 (or 6597 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 103138944 is about 10155.7345376885. The cubic root of 103138944 is about 468.9654989222.

The spelling of 103138944 in words is "one hundred three million, one hundred thirty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 328 384 492 656 984 1312 1968 2624 3936 5248 6551 7872 13102 15744 19653 26204 39306 52408 78612 104816 157224 209632 268591 314448 419264 537182 628896 805773 838528 1074364 1257792 1611546 2148728 2515584 3223092 4297456 6446184 8594912 12892368 17189824 25784736 34379648 51569472 103138944