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1033140132 = 2232208713751
BaseRepresentation
bin111101100101000…
…111011110100100
32200000000221211100
4331211013132210
54103440441012
6250303440100
734413355233
oct7545073644
92600027740
101033140132
114901a9522
12249bb6030
1313607152b
149b2d6b1a
1560a7a8dc
hex3d9477a4

1033140132 has 36 divisors (see below), whose sum is σ = 2612990016. Its totient is φ = 344190000.

The previous prime is 1033140107. The next prime is 1033140137. The reversal of 1033140132 is 2310413301.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1033140137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68257 + ... + 82007.

It is an arithmetic number, because the mean of its divisors is an integer number (72583056).

Almost surely, 21033140132 is an apocalyptic number.

1033140132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1033140132 is an abundant number, since it is smaller than the sum of its proper divisors (1579849884).

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

1033140132 is a wasteful number, since it uses less digits than its factorization.

1033140132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15848 (or 15843 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1033140132 is about 32142.4972894142. The cubic root of 1033140132 is about 1010.9268791020.

Adding to 1033140132 its reverse (2310413301), we get a palindrome (3343553433).

The spelling of 1033140132 in words is "one billion, thirty-three million, one hundred forty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 2087 4174 6261 8348 12522 13751 18783 25044 27502 37566 41253 55004 75132 82506 123759 165012 247518 495036 28698337 57396674 86095011 114793348 172190022 258285033 344380044 516570066 1033140132