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61474320 = 2432585381
BaseRepresentation
bin1110101010000…
…0011000010000
311021200012220200
43222200120100
5111214134240
610033335200
71344344265
oct352403020
9137605820
1061474320
1131778626
1218707500
13c97504b
14824326c
1555e4930
hex3aa0610

61474320 has 60 divisors (see below), whose sum is σ = 206453676. Its totient is φ = 16392960.

The previous prime is 61474319. The next prime is 61474327. The reversal of 61474320 is 2347416.

61474320 is a `hidden beast` number, since 614 + 7 + 43 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12362256 + 49112064 = 3516^2 + 7008^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (61474327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41971 + ... + 43410.

Almost surely, 261474320 is an apocalyptic number.

61474320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61474320 is an abundant number, since it is smaller than the sum of its proper divisors (144979356).

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

61474320 is a wasteful number, since it uses less digits than its factorization.

61474320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85400 (or 85391 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 61474320 is about 7840.5561027264. The cubic root of 61474320 is about 394.6673907847.

The spelling of 61474320 in words is "sixty-one million, four hundred seventy-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 85381 170762 256143 341524 426905 512286 683048 768429 853810 1024572 1280715 1366096 1536858 1707620 2049144 2561430 3073716 3415240 3842145 4098288 5122860 6147432 6830480 7684290 10245720 12294864 15368580 20491440 30737160 61474320