Search a number
-
+
60089040 = 2435511281
BaseRepresentation
bin1110010100111…
…0001011010000
311012001211200000
43211032023100
5110340322130
65543530000
71326514464
oct345161320
9135054600
1060089040
1130a11870
1218159900
13c5ab65b
147da24a4
15541e260
hex394e2d0

60089040 has 240 divisors, whose sum is σ = 229110336. Its totient is φ = 14515200.

The previous prime is 60089027. The next prime is 60089063. The reversal of 60089040 is 4098006.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×600890402 = 7221385456243200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 60088995 and 60089013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213700 + ... + 213980.

Almost surely, 260089040 is an apocalyptic number.

60089040 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 60089040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114555168).

60089040 is an abundant number, since it is smaller than the sum of its proper divisors (169021296).

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

60089040 is a wasteful number, since it uses less digits than its factorization.

60089040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 60089040 is about 7751.7120689561. The cubic root of 60089040 is about 391.6803238535.

The spelling of 60089040 in words is "sixty million, eighty-nine thousand, forty".