Search a number
-
+
60091344 = 2432616841
BaseRepresentation
bin1110010100111…
…0101111010000
311012001221211100
43211032233100
5110340410334
65543544400
71326524265
oct345165720
9135057740
1060091344
1130a13575
121815b100
13c5ac711
147da326c
15541ec99
hex394ebd0

60091344 has 60 divisors (see below), whose sum is σ = 170954212. Its totient is φ = 19699200.

The previous prime is 60091331. The next prime is 60091349. The reversal of 60091344 is 44319006.

60091344 is a `hidden beast` number, since 600 + 9 + 13 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20250000 + 39841344 = 4500^2 + 6312^2 .

It is a super-2 number, since 2×600913442 = 7221939247452672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60091349) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5364 + ... + 12204.

Almost surely, 260091344 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 60091344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85477106).

60091344 is an abundant number, since it is smaller than the sum of its proper divisors (110862868).

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

60091344 is a wasteful number, since it uses less digits than its factorization.

60091344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6916 (or 6907 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 60091344 is about 7751.8606798626. The cubic root of 60091344 is about 391.6853298687.

The spelling of 60091344 in words is "sixty million, ninety-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 244 366 488 549 732 976 1098 1464 2196 2928 4392 6841 8784 13682 20523 27364 41046 54728 61569 82092 109456 123138 164184 246276 328368 417301 492552 834602 985104 1251903 1669204 2503806 3338408 3755709 5007612 6676816 7511418 10015224 15022836 20030448 30045672 60091344