Search a number
-
+
1661270112 = 25329759467
BaseRepresentation
bin110001100000100…
…1111100001100000
311021202222021011200
41203001033201200
511400241120422
6432502441200
756111364045
oct14301174140
94252867150
101661270112
1178281a907
123a4433200
13206238b88
1411a8c31cc
159aca32ac
hex6304f860

1661270112 has 72 divisors (see below), whose sum is σ = 4773020616. Its totient is φ = 548038656.

The previous prime is 1661270099. The next prime is 1661270113. The reversal of 1661270112 is 2110721661.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1661270113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1798 + ... + 57669.

It is an arithmetic number, because the mean of its divisors is an integer number (66291953).

Almost surely, 21661270112 is an apocalyptic number.

1661270112 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 1661270112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2386510308).

1661270112 is an abundant number, since it is smaller than the sum of its proper divisors (3111750504).

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

1661270112 is a wasteful number, since it uses less digits than its factorization.

1661270112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59580 (or 59569 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1661270112 is about 40758.6814310767. The cubic root of 1661270112 is about 1184.3500532401.

Adding to 1661270112 its reverse (2110721661), we get a palindrome (3771991773).

The spelling of 1661270112 in words is "one billion, six hundred sixty-one million, two hundred seventy thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 97 144 194 288 291 388 582 776 873 1164 1552 1746 2328 3104 3492 4656 6984 9312 13968 27936 59467 118934 178401 237868 356802 475736 535203 713604 951472 1070406 1427208 1902944 2140812 2854416 4281624 5708832 5768299 8563248 11536598 17126496 17304897 23073196 34609794 46146392 51914691 69219588 92292784 103829382 138439176 184585568 207658764 276878352 415317528 553756704 830635056 1661270112