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61980501 = 31131431409
BaseRepresentation
bin1110110001101…
…1111101010101
311022121221021010
43230123331111
5111331334001
610052242433
71351553112
oct354337525
9138557233
1061980501
1131a93960
1218910419
13cac156b
148335909
1556948d6
hex3b1bf55

61980501 has 32 divisors (see below), whose sum is σ = 95293440. Its totient is φ = 35481600.

The previous prime is 61980497. The next prime is 61980509. The reversal of 61980501 is 10508916.

It is a happy number.

It is not a de Polignac number, because 61980501 - 22 = 61980497 is a prime.

It is a super-2 number, since 2×619805012 = 7683165008422002, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61980509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43285 + ... + 44693.

It is an arithmetic number, because the mean of its divisors is an integer number (2977920).

Almost surely, 261980501 is an apocalyptic number.

It is an amenable number.

61980501 is a deficient number, since it is larger than the sum of its proper divisors (33312939).

61980501 is a wasteful number, since it uses less digits than its factorization.

61980501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497.

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 61980501 is about 7872.7695889058. The cubic root of 61980501 is about 395.7476647205.

It can be divided in two parts, 61980 and 501, that added together give a triangular number (62481 = T353).

The spelling of 61980501 in words is "sixty-one million, nine hundred eighty thousand, five hundred one".

Divisors: 1 3 11 31 33 43 93 129 341 473 1023 1333 1409 1419 3999 4227 14663 15499 43679 43989 46497 60587 131037 181761 480469 666457 1441407 1878197 1999371 5634591 20660167 61980501