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1242030816 = 253213331739
BaseRepresentation
bin100101000000111…
…1110001011100000
310012120002200222100
41022001332023200
510020424441231
6323125010400
742531042045
oct11201761340
93176080870
101242030816
11588104154
122a7b53a00
1316a41c4a0
14bad511cc
157408e1e6
hex4a07e2e0

1242030816 has 72 divisors (see below), whose sum is σ = 3803730840. Its totient is φ = 382162176.

The previous prime is 1242030793. The next prime is 1242030827. The reversal of 1242030816 is 6180302421.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1242030816.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 162126 + ... + 169613.

It is an arithmetic number, because the mean of its divisors is an integer number (52829595).

Almost surely, 21242030816 is an apocalyptic number.

1242030816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1242030816 is an abundant number, since it is smaller than the sum of its proper divisors (2561700024).

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

1242030816 is a wasteful number, since it uses less digits than its factorization.

1242030816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331768 (or 331757 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1242030816 is about 35242.4575760545. The cubic root of 1242030816 is about 1074.9232513442.

The spelling of 1242030816 in words is "one billion, two hundred forty-two million, thirty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 331739 663478 995217 1326956 1990434 2653912 2985651 3980868 4312607 5307824 5971302 7961736 8625214 10615648 11942604 12937821 15923472 17250428 23885208 25875642 31846944 34500856 38813463 47770416 51751284 69001712 77626926 95540832 103502568 138003424 155253852 207005136 310507704 414010272 621015408 1242030816