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1742494140 = 223353226841
BaseRepresentation
bin110011111011100…
…0101100110111100
311111102210212121000
41213313011212330
512032034303030
6444523410300
761115645562
oct14767054674
94442725530
101742494140
11814657702
12407683990
1321a00742a
141275c7a32
15a2e99860
hex67dc59bc

1742494140 has 48 divisors (see below), whose sum is σ = 5421094560. Its totient is φ = 464664960.

The previous prime is 1742494111. The next prime is 1742494151. The reversal of 1742494140 is 414942471.

1742494140 is a `hidden beast` number, since 1 + 7 + 424 + 94 + 140 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1742494095 and 1742494104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1612881 + ... + 1613960.

It is an arithmetic number, because the mean of its divisors is an integer number (112939470).

Almost surely, 21742494140 is an apocalyptic number.

1742494140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1742494140 is an abundant number, since it is smaller than the sum of its proper divisors (3678600420).

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

1742494140 is a wasteful number, since it uses less digits than its factorization.

1742494140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3226859 (or 3226851 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1742494140 is about 41743.1927384574. The cubic root of 1742494140 is about 1203.3457877504.

The spelling of 1742494140 in words is "one billion, seven hundred forty-two million, four hundred ninety-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 3226841 6453682 9680523 12907364 16134205 19361046 29041569 32268410 38722092 48402615 58083138 64536820 87124707 96805230 116166276 145207845 174249414 193610460 290415690 348498828 435623535 580831380 871247070 1742494140