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61688420 = 22518117041
BaseRepresentation
bin1110101101010…
…0101001100100
311022002002121022
43223110221210
5111243012140
610042110312
71346225423
oct353245144
9138062538
1061688420
1131904472
12187ab398
13ca1b631
14829b2ba
1556380b5
hex3ad4a64

61688420 has 24 divisors (see below), whose sum is σ = 130269048. Its totient is φ = 24537600.

The previous prime is 61688401. The next prime is 61688437. The reversal of 61688420 is 2488616.

61688420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2951524 + 58736896 = 1718^2 + 7664^2 .

It is a super-2 number, since 2×616884202 = 7610922324192800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4901 + ... + 12140.

It is an arithmetic number, because the mean of its divisors is an integer number (5427877).

Almost surely, 261688420 is an apocalyptic number.

It is an amenable number.

61688420 is an abundant number, since it is smaller than the sum of its proper divisors (68580628).

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

61688420 is a wasteful number, since it uses less digits than its factorization.

61688420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17231 (or 17229 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 61688420 is about 7854.1976038294. The cubic root of 61688420 is about 395.1250365253.

The spelling of 61688420 in words is "sixty-one million, six hundred eighty-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 181 362 724 905 1810 3620 17041 34082 68164 85205 170410 340820 3084421 6168842 12337684 15422105 30844210 61688420