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1021352040 = 2332531711289
BaseRepresentation
bin111100111000001…
…001100001101000
32122011212001121100
4330320021201220
54042431231130
6245203041400
734211230512
oct7470114150
92564761540
101021352040
114845879a5
12246070260
131337a4b27
1499908bb2
155e9ecc60
hex3ce09868

1021352040 has 192 divisors, whose sum is σ = 3477427200. Its totient is φ = 259660800.

The previous prime is 1021352023. The next prime is 1021352047. The reversal of 1021352040 is 402531201.

1021352040 is a `hidden beast` number, since 102 + 1 + 3 + 520 + 40 = 666.

It is a super-2 number, since 2×10213520402 = 2086319979224323200, which contains 22 as substring.

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 (1021352047) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 791716 + ... + 793004.

It is an arithmetic number, because the mean of its divisors is an integer number (18111600).

Almost surely, 21021352040 is an apocalyptic number.

1021352040 is a gapful number since it is divisible by the number (10) 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 1021352040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1738713600).

1021352040 is an abundant number, since it is smaller than the sum of its proper divisors (2456075160).

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

1021352040 is a wasteful number, since it uses less digits than its factorization.

1021352040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1021352040 is about 31958.5988428780. The cubic root of 1021352040 is about 1007.0672825224.

Adding to 1021352040 its reverse (402531201), we get a palindrome (1423883241).

The spelling of 1021352040 in words is "one billion, twenty-one million, three hundred fifty-two thousand, forty".