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102996288 = 2632178813
BaseRepresentation
bin1100010001110…
…01100101000000
321011210202100100
412020321211000
5202331340123
614115322400
72360311503
oct610714500
9234722310
10102996288
11531586aa
122a5b0400
1318452565
14d97113a
159097643
hex6239940

102996288 has 42 divisors (see below), whose sum is σ = 295221914. Its totient is φ = 34331904.

The previous prime is 102996281. The next prime is 102996293. The reversal of 102996288 is 882699201.

102996288 is a `hidden beast` number, since 10 + 2 + 9 + 9 + 628 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 102576384 + 419904 = 10128^2 + 648^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102996281) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 88831 + ... + 89982.

Almost surely, 2102996288 is an apocalyptic number.

102996288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

102996288 is an abundant number, since it is smaller than the sum of its proper divisors (192225626).

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

102996288 is a wasteful number, since it uses less digits than its factorization.

102996288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178831 (or 178818 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 102996288 is about 10148.7086863305. The cubic root of 102996288 is about 468.7491835719.

The spelling of 102996288 in words is "one hundred two million, nine hundred ninety-six thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 178813 357626 536439 715252 1072878 1430504 1609317 2145756 2861008 3218634 4291512 5722016 6437268 8583024 11444032 12874536 17166048 25749072 34332096 51498144 102996288