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61274640 = 2435736473
BaseRepresentation
bin1110100110111…
…1101000010000
311021022002000010
43221233220100
5111141242030
610025154520
71342553160
oct351575020
9137262003
1061274640
11316515a9
121862ba40
13c9051ab
1481d05a0
1555a56b0
hex3a6fa10

61274640 has 80 divisors (see below), whose sum is σ = 217093248. Its totient is φ = 14005248.

The previous prime is 61274617. The next prime is 61274641. The reversal of 61274640 is 4647216.

61274640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 61274598 and 61274607.

It is not an unprimeable number, because it can be changed into a prime (61274641) 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 15 ways as a sum of consecutive naturals, for example, 16557 + ... + 19916.

Almost surely, 261274640 is an apocalyptic number.

61274640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61274640 is an abundant number, since it is smaller than the sum of its proper divisors (155818608).

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

61274640 is a wasteful number, since it uses less digits than its factorization.

61274640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36496 (or 36490 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 61274640 is about 7827.8119548185. The cubic root of 61274640 is about 394.2396096360.

The spelling of 61274640 in words is "sixty-one million, two hundred seventy-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 36473 72946 109419 145892 182365 218838 255311 291784 364730 437676 510622 547095 583568 729460 765933 875352 1021244 1094190 1276555 1458920 1531866 1750704 2042488 2188380 2553110 2917840 3063732 3829665 4084976 4376760 5106220 6127464 7659330 8753520 10212440 12254928 15318660 20424880 30637320 61274640