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162540012 = 22329617757
BaseRepresentation
bin10011011000000…
…10100111101100
3102022211212222110
421230002213230
5313102240022
624043444020
74012365405
oct1154024754
9368755873
10162540012
1183827798
1246526610
132789c92b
14178309ac
15e40a00c
hex9b029ec

162540012 has 48 divisors (see below), whose sum is σ = 393492960. Its totient is φ = 52157952.

The previous prime is 162539989. The next prime is 162540019. The reversal of 162540012 is 210045261.

It is not an unprimeable number, because it can be changed into a prime (162540019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214338 + ... + 215094.

It is an arithmetic number, because the mean of its divisors is an integer number (8197770).

Almost surely, 2162540012 is an apocalyptic number.

162540012 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 162540012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196746480).

162540012 is an abundant number, since it is smaller than the sum of its proper divisors (230952948).

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

162540012 is a wasteful number, since it uses less digits than its factorization.

162540012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 162540012 is about 12749.1180871463. The cubic root of 162540012 is about 545.7412263802.

Adding to 162540012 its reverse (210045261), we get a palindrome (372585273).

The spelling of 162540012 in words is "one hundred sixty-two million, five hundred forty thousand, twelve".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 617 757 1234 1514 1851 2271 2468 3028 3702 4542 7404 9084 17893 21953 35786 43906 53679 65859 71572 87812 107358 131718 214716 263436 467069 934138 1401207 1868276 2802414 5604828 13545001 27090002 40635003 54180004 81270006 162540012