Search a number
-
+
1660157780 = 22517291371229
BaseRepresentation
bin110001011110011…
…1111111101010100
311021200212202100012
41202330333331110
511400000022110
6432422535352
756066052101
oct14274777524
94250782305
101660157780
11782130126
123a3b97558
13205c397a8
1411a6b3aa8
159ab33905
hex62f3ff54

1660157780 has 96 divisors (see below), whose sum is σ = 3849703200. Its totient is φ = 598556672.

The previous prime is 1660157777. The next prime is 1660157801. The reversal of 1660157780 is 877510661.

It can be written as a sum of positive squares in 16 ways, for example, as 9523396 + 1650634384 = 3086^2 + 40628^2 .

It is a super-2 number, since 2×16601577802 = 5512247708989056800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1350206 + ... + 1351434.

It is an arithmetic number, because the mean of its divisors is an integer number (40101075).

Almost surely, 21660157780 is an apocalyptic number.

1660157780 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 1660157780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1924851600).

1660157780 is an abundant number, since it is smaller than the sum of its proper divisors (2189545420).

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

1660157780 is a wasteful number, since it uses less digits than its factorization.

1660157780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 41.

The square root of 1660157780 is about 40745.0338078152. The cubic root of 1660157780 is about 1184.0856602333.

The spelling of 1660157780 in words is "one billion, six hundred sixty million, one hundred fifty-seven thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 137 145 170 274 290 340 493 548 580 685 986 1229 1370 1972 2329 2458 2465 2740 3973 4658 4916 4930 6145 7946 9316 9860 11645 12290 15892 19865 20893 23290 24580 35641 39730 41786 46580 67541 71282 79460 83572 104465 135082 142564 168373 178205 208930 270164 336746 337705 356410 417860 605897 673492 675410 712820 841865 1211794 1350820 1683730 2423588 2862341 3029485 3367460 4882817 5724682 6058970 9765634 11449364 12117940 14311705 19531268 24414085 28623410 48828170 57246820 83007889 97656340 166015778 332031556 415039445 830078890 1660157780