Search a number
-
+
60269040 = 243251347137
BaseRepresentation
bin1110010111101…
…0000111110000
311012101222120200
43211322013300
5110412102130
65551435200
71331164326
oct345720760
9135358520
1060269040
1131025027
1218225b00
13c642570
14800bd16
155457760
hex397a1f0

60269040 has 240 divisors, whose sum is σ = 224235648. Its totient is φ = 14413824.

The previous prime is 60269017. The next prime is 60269059. The reversal of 60269040 is 4096206.

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

It is a junction number, because it is equal to n+sod(n) for n = 60268995 and 60269013.

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, 439852 + ... + 439988.

Almost surely, 260269040 is an apocalyptic number.

60269040 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 60269040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112117824).

60269040 is an abundant number, since it is smaller than the sum of its proper divisors (163966608).

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

60269040 is a wasteful number, since it uses less digits than its factorization.

60269040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 207 counting only the distinct ones).

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

The square root of 60269040 is about 7763.3137254654. The cubic root of 60269040 is about 392.0710339133.

The spelling of 60269040 in words is "sixty million, two hundred sixty-nine thousand, forty".