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61405377 = 31117234759
BaseRepresentation
bin1110101000111…
…1100011000001
311021112201100020
43222033203001
5111204433002
610032044053
71343636265
oct352174301
9137481306
1061405377
1131730850
1218693629
13c94c857
1482260a5
1555ce2bc
hex3a8f8c1

61405377 has 32 divisors (see below), whose sum is σ = 98703360. Its totient is φ = 33496320.

The previous prime is 61405373. The next prime is 61405381. The reversal of 61405377 is 77350416.

61405377 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61405373) and next prime (61405381).

It is not a de Polignac number, because 61405377 - 22 = 61405373 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (61405373) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 10524 + ... + 15282.

It is an arithmetic number, because the mean of its divisors is an integer number (3084480).

Almost surely, 261405377 is an apocalyptic number.

It is an amenable number.

61405377 is a deficient number, since it is larger than the sum of its proper divisors (37297983).

61405377 is a wasteful number, since it uses less digits than its factorization.

61405377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4813.

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 61405377 is about 7836.1583062110. The cubic root of 61405377 is about 394.5197967322.

The spelling of 61405377 in words is "sixty-one million, four hundred five thousand, three hundred seventy-seven".

Divisors: 1 3 11 17 23 33 51 69 187 253 391 561 759 1173 4301 4759 12903 14277 52349 80903 109457 157047 242709 328371 889933 1204027 1860769 2669799 3612081 5582307 20468459 61405377