Search a number
-
+
60091680 = 25351119599
BaseRepresentation
bin1110010100111…
…0110100100000
311012001222021210
43211032310200
5110340413210
65543550120
71326525255
oct345166440
9135058253
1060091680
1130a13850
121815b340
13c5ac90c
147da342c
15541ee20
hex394ed20

60091680 has 192 divisors, whose sum is σ = 217728000. Its totient is φ = 13777920.

The previous prime is 60091679. The next prime is 60091687. The reversal of 60091680 is 8619006.

It is a super-2 number, since 2×600916802 = 7222020010444800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60091687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100021 + ... + 100619.

It is an arithmetic number, because the mean of its divisors is an integer number (1134000).

Almost surely, 260091680 is an apocalyptic number.

60091680 is a gapful number since it is divisible by the number (60) 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 60091680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108864000).

60091680 is an abundant number, since it is smaller than the sum of its proper divisors (157636320).

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

60091680 is a wasteful number, since it uses less digits than its factorization.

60091680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 60091680 is about 7751.8823520484. The cubic root of 60091680 is about 391.6860599019.

The spelling of 60091680 in words is "sixty million, ninety-one thousand, six hundred eighty".