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1242319320 = 2332511313717
BaseRepresentation
bin100101000001100…
…0100100111011000
310012120122100201200
41022003010213120
510021013204240
6323135114200
742533353134
oct11203044730
93176570650
101242319320
11588290990
122a8072960
1316a4c08b8
14badc83c4
15740e9930
hex4a0c49d8

1242319320 has 96 divisors (see below), whose sum is σ = 4404600720. Its totient is φ = 301167360.

The previous prime is 1242319297. The next prime is 1242319357. The reversal of 1242319320 is 239132421.

It is a happy number.

1242319320 is a `hidden beast` number, since 1 + 24 + 2 + 319 + 320 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152899 + ... + 160818.

Almost surely, 21242319320 is an apocalyptic number.

1242319320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1242319320 is an abundant number, since it is smaller than the sum of its proper divisors (3162281400).

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

1242319320 is a wasteful number, since it uses less digits than its factorization.

1242319320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313745 (or 313738 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1242319320 is about 35246.5504695140. The cubic root of 1242319320 is about 1075.0064740912.

The spelling of 1242319320 in words is "one billion, two hundred forty-two million, three hundred nineteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 313717 627434 941151 1254868 1568585 1882302 2509736 2823453 3137170 3450887 3764604 4705755 5646906 6274340 6901774 7529208 9411510 10352661 11293812 12548680 13803548 14117265 17254435 18823020 20705322 22587624 27607096 28234530 31057983 34508870 37646040 41410644 51763305 56469060 62115966 69017740 82821288 103526610 112938120 124231932 138035480 155289915 207053220 248463864 310579830 414106440 621159660 1242319320