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61002240 = 293513247
BaseRepresentation
bin1110100010110…
…1001000000000
311020210020100020
43220231020000
5111104032430
610015253440
71340340045
oct350551000
9136706306
1061002240
1131485982
121851a280
13c83b200
14815d1cc
15554eb10
hex3a2d200

61002240 has 240 divisors, whose sum is σ = 215664768. Its totient is φ = 14696448.

The previous prime is 61002229. The next prime is 61002241. The reversal of 61002240 is 4220016.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (61002241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1297897 + ... + 1297943.

Almost surely, 261002240 is an apocalyptic number.

61002240 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 61002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107832384).

61002240 is an abundant number, since it is smaller than the sum of its proper divisors (154662528).

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

61002240 is a wasteful number, since it uses less digits than its factorization.

61002240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 61002240 is about 7810.3930758957. The cubic root of 61002240 is about 393.6545366959.

Adding to 61002240 its reverse (4220016), we get a palindrome (65222256).

The spelling of 61002240 in words is "sixty-one million, two thousand, two hundred forty".