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61602240 = 2635789103
BaseRepresentation
bin1110101011111…
…1100111000000
311021220201101110
43222333213000
5111232232430
610040203320
71345416240
oct352774700
9137821343
1061602240
1131855747
1218769540
13c9bb33b
148277b20
15561c7b0
hex3abf9c0

61602240 has 224 divisors, whose sum is σ = 228234240. Its totient is φ = 13787136.

The previous prime is 61602221. The next prime is 61602259. The reversal of 61602240 is 4220616.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (61602221) and next prime (61602259).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 598029 + ... + 598131.

Almost surely, 261602240 is an apocalyptic number.

61602240 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 61602240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114117120).

61602240 is an abundant number, since it is smaller than the sum of its proper divisors (166632000).

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

61602240 is a wasteful number, since it uses less digits than its factorization.

61602240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 61602240 is about 7848.7094480558. The cubic root of 61602240 is about 394.9409514895.

Adding to 61602240 its reverse (4220616), we get a palindrome (65822856).

The spelling of 61602240 in words is "sixty-one million, six hundred two thousand, two hundred forty".