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1202068512 = 25362272
BaseRepresentation
bin100011110100110…
…0001110000100000
310002202220102000000
41013221201300200
54430212143022
6315140300000
741534261631
oct10751416040
93082812000
101202068512
11567599957
122966a1600
13162069b58
14b590b888
15707e86ac
hex47a61c20

1202068512 has 126 divisors (see below), whose sum is σ = 3563935263. Its totient is φ = 398924352.

The previous prime is 1202068451. The next prime is 1202068513. The reversal of 1202068512 is 2158602021.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1202068512 is a `hidden beast` number, since 120 + 20 + 6 + 8 + 512 = 666.

It can be written as a sum of positive squares in only one way, i.e., 601034256 + 601034256 = 24516^2 + 24516^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=24516.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1202068513) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 5295343 + ... + 5295569.

Almost surely, 21202068512 is an apocalyptic number.

1202068512 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 1202068512

1202068512 is an abundant number, since it is smaller than the sum of its proper divisors (2361866751).

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

1202068512 is an frugal number, since it uses more digits than its factorization.

1202068512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1202068512 is about 34670.8596951388. The cubic root of 1202068512 is about 1063.2688081267.

The spelling of 1202068512 in words is "one billion, two hundred two million, sixty-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 227 243 288 324 432 454 486 648 681 729 864 908 972 1296 1362 1458 1816 1944 2043 2592 2724 2916 3632 3888 4086 5448 5832 6129 7264 7776 8172 10896 11664 12258 16344 18387 21792 23328 24516 32688 36774 49032 51529 55161 65376 73548 98064 103058 110322 147096 154587 165483 196128 206116 220644 294192 309174 330966 412232 441288 463761 588384 618348 661932 824464 882576 927522 1236696 1323864 1391283 1648928 1765152 1855044 2473392 2647728 2782566 3710088 4173849 4946784 5295456 5565132 7420176 8347698 11130264 12521547 14840352 16695396 22260528 25043094 33390792 37564641 44521056 50086188 66781584 75129282 100172376 133563168 150258564 200344752 300517128 400689504 601034256 1202068512