Search a number
-
+
61425000 = 233355713
BaseRepresentation
bin1110101001010…
…0010101101000
311021120201021000
43222110111220
5111211100000
610032315000
71344050430
oct352242550
9137521230
1061425000
113174456a
12186a2a60
13c958770
14822d2c0
1555d5000
hex3a94568

61425000 has 384 divisors, whose sum is σ = 262483200. Its totient is φ = 12960000.

The previous prime is 61424953. The next prime is 61425017. The reversal of 61425000 is 52416.

Added to its reverse (52416) it gives a triangular number (61477416 = T11088).

It is a happy number.

61425000 is a `hidden beast` number, since 614 + 2 + 50 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4724994 + ... + 4725006.

It is an arithmetic number, because the mean of its divisors is an integer number (683550).

Almost surely, 261425000 is an apocalyptic number.

61425000 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 61425000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131241600).

61425000 is an abundant number, since it is smaller than the sum of its proper divisors (201058200).

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

61425000 is a wasteful number, since it uses less digits than its factorization.

61425000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 61425000 is about 7837.4102865679. The cubic root of 61425000 is about 394.5618171428.

Adding to 61425000 its reverse (52416), we get a palindrome (61477416).

The spelling of 61425000 in words is "sixty-one million, four hundred twenty-five thousand".