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1075681152 = 273271331331
BaseRepresentation
bin100000000011101…
…1001011110000000
32202222002021010200
41000013121132000
54200333244102
6254423325200
735441065440
oct10007313600
92688067120
101075681152
11502215197
122602b0800
13141b17830
14a2c0c120
156468051c
hex401d9780

1075681152 has 384 divisors, whose sum is σ = 3944478720. Its totient is φ = 273715200.

The previous prime is 1075681147. The next prime is 1075681157. The reversal of 1075681152 is 2511865701.

It is an interprime number because it is at equal distance from previous prime (1075681147) and next prime (1075681157).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1075681157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3249627 + ... + 3249957.

It is an arithmetic number, because the mean of its divisors is an integer number (10272080).

Almost surely, 21075681152 is an apocalyptic number.

1075681152 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 1075681152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1972239360).

1075681152 is an abundant number, since it is smaller than the sum of its proper divisors (2868797568).

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

1075681152 is a wasteful number, since it uses less digits than its factorization.

1075681152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 36.

The square root of 1075681152 is about 32797.5784471964. The cubic root of 1075681152 is about 1024.6161249810.

The spelling of 1075681152 in words is "one billion, seventy-five million, six hundred eighty-one thousand, one hundred fifty-two".