Search a number
-
+
1221087492 = 22321711317657
BaseRepresentation
bin100100011001000…
…0101000100000100
310011002200200010200
41020302011010010
510000044244432
6321100050500
742155033562
oct11062050404
93132620120
101221087492
115772aa119
122a0b33a30
13165c988a1
14b825ca32
1572303a7c
hex48c85104

1221087492 has 72 divisors (see below), whose sum is σ = 3297313656. Its totient is φ = 379674624.

The previous prime is 1221087481. The next prime is 1221087499. The reversal of 1221087492 is 2947801221.

It can be written as a sum of positive squares in 4 ways, for example, as 4356 + 1221083136 = 66^2 + 34944^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1221087499) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60328 + ... + 77984.

It is an arithmetic number, because the mean of its divisors is an integer number (45796023).

Almost surely, 21221087492 is an apocalyptic number.

1221087492 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 1221087492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648656828).

1221087492 is an abundant number, since it is smaller than the sum of its proper divisors (2076226164).

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

1221087492 is a wasteful number, since it uses less digits than its factorization.

1221087492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17797 (or 17792 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1221087492 is about 34944.0623282411. The cubic root of 1221087492 is about 1068.8471269891.

It can be divided in two parts, 122108 and 7492, that added together give a square (129600 = 3602).

The spelling of 1221087492 in words is "one billion, two hundred twenty-one million, eighty-seven thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 113 153 204 226 306 339 452 612 678 1017 1356 1921 2034 3842 4068 5763 7684 11526 17289 17657 23052 34578 35314 52971 69156 70628 105942 158913 211884 300169 317826 600338 635652 900507 1200676 1801014 1995241 2701521 3602028 3990482 5403042 5985723 7980964 10806084 11971446 17957169 23942892 33919097 35914338 67838194 71828676 101757291 135676388 203514582 305271873 407029164 610543746 1221087492