Search a number
-
+
1660157952 = 21832111
BaseRepresentation
bin110001011110100…
…0000000000000000
311021200212202120120
41202331000000000
511400000023302
6432422540240
756066052435
oct14275000000
94250782516
101660157952
11782130272
123a3b97680
13205c398ab
1411a6b3b8c
159ab339bc
hex62f40000

1660157952 has 76 divisors (see below), whose sum is σ = 4429176576. Its totient is φ = 553123840.

The previous prime is 1660157929. The next prime is 1660157977. The reversal of 1660157952 is 2597510661.

It is a super-2 number, since 2×16601579522 = 5512248851177668608, 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 3 ways as a sum of consecutive naturals, for example, 785377 + ... + 787487.

Almost surely, 21660157952 is an apocalyptic number.

1660157952 is a gapful number since it is divisible by the number (12) 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 1660157952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2214588288).

1660157952 is an abundant number, since it is smaller than the sum of its proper divisors (2769018624).

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

1660157952 is an frugal number, since it uses more digits than its factorization.

1660157952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2150 (or 2116 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 42.

The square root of 1660157952 is about 40745.0359185018. The cubic root of 1660157952 is about 1184.0857011255.

The spelling of 1660157952 in words is "one billion, six hundred sixty million, one hundred fifty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 2111 3072 4096 4222 6144 6333 8192 8444 12288 12666 16384 16888 24576 25332 32768 33776 49152 50664 65536 67552 98304 101328 131072 135104 196608 202656 262144 270208 393216 405312 540416 786432 810624 1080832 1621248 2161664 3242496 4323328 6484992 8646656 12969984 17293312 25939968 34586624 51879936 69173248 103759872 138346496 207519744 276692992 415039488 553385984 830078976 1660157952