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1973285140 = 225159761781
BaseRepresentation
bin111010110011101…
…1111000100010100
312002112002021022211
41311213133010110
513020130111030
6523450203204
766620434621
oct16547370424
95075067284
101973285140
11922960372
12470a23504
13255a82758
1414a103348
15b838712a
hex759df114

1973285140 has 24 divisors (see below), whose sum is σ = 4146560712. Its totient is φ = 788807040.

The previous prime is 1973285131. The next prime is 1973285141. The reversal of 1973285140 is 415823791.

It can be written as a sum of positive squares in 4 ways, for example, as 61496964 + 1911788176 = 7842^2 + 43724^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1973285093 and 1973285102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1973285141) 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 7 ways as a sum of consecutive naturals, for example, 1050 + ... + 62830.

It is an arithmetic number, because the mean of its divisors is an integer number (172773363).

Almost surely, 21973285140 is an apocalyptic number.

1973285140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1973285140 is an abundant number, since it is smaller than the sum of its proper divisors (2173275572).

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

1973285140 is a wasteful number, since it uses less digits than its factorization.

1973285140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63387 (or 63385 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 1973285140 is about 44421.6742142842. The cubic root of 1973285140 is about 1254.2861164337.

The spelling of 1973285140 in words is "one billion, nine hundred seventy-three million, two hundred eighty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 1597 3194 6388 7985 15970 31940 61781 123562 247124 308905 617810 1235620 98664257 197328514 394657028 493321285 986642570 1973285140