Search a number
-
+
60539400 = 23345237101
BaseRepresentation
bin1110011011110…
…0001000001000
311012220201110000
43212330020020
5110444230100
610001323000
71333401465
oct346741010
9135821400
1060539400
113119a169
1218336460
13c70863c
14807c66c
1554ac900
hex39bc208

60539400 has 240 divisors, whose sum is σ = 218083140. Its totient is φ = 15552000.

The previous prime is 60539393. The next prime is 60539407. The reversal of 60539400 is 493506.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (60539393) and next prime (60539407).

It can be written as a sum of positive squares in 6 ways, for example, as 51065316 + 9474084 = 7146^2 + 3078^2 .

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

It is not an unprimeable number, because it can be changed into a prime (60539407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 599350 + ... + 599450.

Almost surely, 260539400 is an apocalyptic number.

60539400 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 60539400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109041570).

60539400 is an abundant number, since it is smaller than the sum of its proper divisors (157543740).

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

60539400 is a wasteful number, since it uses less digits than its factorization.

60539400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 60539400 is about 7780.7069087584. The cubic root of 60539400 is about 392.6564213516.

The spelling of 60539400 in words is "sixty million, five hundred thirty-nine thousand, four hundred".