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61450320 = 2435534831
BaseRepresentation
bin1110101001101…
…0100001010000
311021121222222210
43222122201100
5111212402240
610033032120
71344214311
oct352324120
9137558883
1061450320
1131761598
12186b5640
13c967149
148238608
1555dc780
hex3a9a850

61450320 has 80 divisors (see below), whose sum is σ = 194130432. Its totient is φ = 16074240.

The previous prime is 61450307. The next prime is 61450321. The reversal of 61450320 is 2305416.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×614503202 = 7552283656204800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61450321) by changing a digit.

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, 10305 + ... + 15135.

Almost surely, 261450320 is an apocalyptic number.

61450320 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 61450320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97065216).

61450320 is an abundant number, since it is smaller than the sum of its proper divisors (132680112).

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

61450320 is a wasteful number, since it uses less digits than its factorization.

61450320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4900 (or 4894 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 61450320 is about 7839.0254496334. The cubic root of 61450320 is about 394.6160238058.

Adding to 61450320 its reverse (2305416), we get a palindrome (63755736).

The spelling of 61450320 in words is "sixty-one million, four hundred fifty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 106 120 159 212 240 265 318 424 530 636 795 848 1060 1272 1590 2120 2544 3180 4240 4831 6360 9662 12720 14493 19324 24155 28986 38648 48310 57972 72465 77296 96620 115944 144930 193240 231888 256043 289860 386480 512086 579720 768129 1024172 1159440 1280215 1536258 2048344 2560430 3072516 3840645 4096688 5120860 6145032 7681290 10241720 12290064 15362580 20483440 30725160 61450320