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1660330960 = 245195711913
BaseRepresentation
bin110001011110110…
…1010001111010000
311021201012112220021
41202331222033100
511400021042320
6432430353224
756100403021
oct14275521720
94251175807
101660330960
11782239252
123a405b814
13205c9a572
1411a71ac48
159ab69daa
hex62f6a3d0

1660330960 has 80 divisors (see below), whose sum is σ = 4072685760. Its totient is φ = 627747840.

The previous prime is 1660330951. The next prime is 1660330963. The reversal of 1660330960 is 690330661.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1660330963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 866964 + ... + 868876.

It is an arithmetic number, because the mean of its divisors is an integer number (50908572).

Almost surely, 21660330960 is an apocalyptic number.

1660330960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1660330960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2036342880).

1660330960 is an abundant number, since it is smaller than the sum of its proper divisors (2412354800).

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

1660330960 is a wasteful number, since it uses less digits than its factorization.

1660330960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2516 (or 2510 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 34.

The square root of 1660330960 is about 40747.1589193652. The cubic root of 1660330960 is about 1184.1268315860.

The spelling of 1660330960 in words is "one billion, six hundred sixty million, three hundred thirty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 571 760 1142 1520 1913 2284 2855 3826 4568 5710 7652 9136 9565 10849 11420 15304 19130 21698 22840 30608 36347 38260 43396 45680 54245 72694 76520 86792 108490 145388 153040 173584 181735 216980 290776 363470 433960 581552 726940 867920 1092323 1453880 2184646 2907760 4369292 5461615 8738584 10923230 17477168 20754137 21846460 41508274 43692920 83016548 87385840 103770685 166033096 207541370 332066192 415082740 830165480 1660330960