Search a number
-
+
61578240 = 2103519211
BaseRepresentation
bin1110101011100…
…1110000000000
311021212111110120
43222321300000
5111231000430
610035500240
71345256253
oct352716000
9137774416
1061578240
1131839709
1218757680
13c9b0439
14826d09a
155615610
hex3ab9c00

61578240 has 176 divisors, whose sum is σ = 208302720. Its totient is φ = 15482880.

The previous prime is 61578211. The next prime is 61578277. The reversal of 61578240 is 4287516.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 291735 + ... + 291945.

Almost surely, 261578240 is an apocalyptic number.

61578240 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 61578240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104151360).

61578240 is an abundant number, since it is smaller than the sum of its proper divisors (146724480).

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

61578240 is a wasteful number, since it uses less digits than its factorization.

61578240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 61578240 is about 7847.1803853359. The cubic root of 61578240 is about 394.8896556597.

The spelling of 61578240 in words is "sixty-one million, five hundred seventy-eight thousand, two hundred forty".