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1242161360 = 245116312237
BaseRepresentation
bin100101000001001…
…1110000011010000
310012120100100001022
41022002132003100
510020443130420
6323131455012
742532124456
oct11202360320
93176310038
101242161360
11588193240
122a7bb7468
1316a466a2b
14bad869d6
15740b7c25
hex4a09e0d0

1242161360 has 80 divisors (see below), whose sum is σ = 3156976512. Its totient is φ = 450777600.

The previous prime is 1242161359. The next prime is 1242161377. The reversal of 1242161360 is 631612421.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 554162 + ... + 556398.

Almost surely, 21242161360 is an apocalyptic number.

1242161360 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 1242161360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578488256).

1242161360 is an abundant number, since it is smaller than the sum of its proper divisors (1914815152).

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

1242161360 is a wasteful number, since it uses less digits than its factorization.

1242161360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2892 (or 2886 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 1242161360 is about 35244.3096116238. The cubic root of 1242161360 is about 1074.9609100623.

Adding to 1242161360 its reverse (631612421), we get a palindrome (1873773781).

The spelling of 1242161360 in words is "one billion, two hundred forty-two million, one hundred sixty-one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 631 880 1262 2237 2524 3155 4474 5048 6310 6941 8948 10096 11185 12620 13882 17896 22370 24607 25240 27764 34705 35792 44740 49214 50480 55528 69410 89480 98428 111056 123035 138820 178960 196856 246070 277640 393712 492140 555280 984280 1411547 1968560 2823094 5646188 7057735 11292376 14115470 15527017 22584752 28230940 31054034 56461880 62108068 77635085 112923760 124216136 155270170 248432272 310540340 621080680 1242161360