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61232640 = 293571767
BaseRepresentation
bin1110100110010…
…1011000000000
311021012221101120
43221211120000
5111133421030
610024232240
71342316550
oct351453000
9137187346
1061232640
1131622a97
121860b680
13c8bc041
1481bd160
155598010
hex3a65600

61232640 has 320 divisors, whose sum is σ = 240413184. Its totient is φ = 12976128.

The previous prime is 61232629. The next prime is 61232641. The reversal of 61232640 is 4623216.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 61232640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61232641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 913887 + ... + 913953.

Almost surely, 261232640 is an apocalyptic number.

61232640 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 61232640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120206592).

61232640 is an abundant number, since it is smaller than the sum of its proper divisors (179180544).

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

61232640 is a wasteful number, since it uses less digits than its factorization.

61232640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 61232640 is about 7825.1287529344. The cubic root of 61232640 is about 394.1495133730.

Adding to 61232640 its reverse (4623216), we get a palindrome (65855856).

The spelling of 61232640 in words is "sixty-one million, two hundred thirty-two thousand, six hundred forty".