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1053245088 = 253271931887
BaseRepresentation
bin111110110001110…
…011111010100000
32201101212101122100
4332301303322200
54124112320323
6252302410400
735046302250
oct7661637240
92641771570
101053245088
114a0590695
12254890a00
1313a29065c
149dc4b960
15626ec943
hex3ec73ea0

1053245088 has 288 divisors, whose sum is σ = 3723632640. Its totient is φ = 275581440.

The previous prime is 1053245087. The next prime is 1053245099. The reversal of 1053245088 is 8805423501.

It is a happy number.

1053245088 is a `hidden beast` number, since 1 + 0 + 532 + 45 + 0 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×10532450882 = 2218650430792255488, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1053245087) 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 47 ways as a sum of consecutive naturals, for example, 1186981 + ... + 1187867.

It is an arithmetic number, because the mean of its divisors is an integer number (12929280).

Almost surely, 21053245088 is an apocalyptic number.

1053245088 is a gapful number since it is divisible by the number (18) 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 1053245088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1861816320).

1053245088 is an abundant number, since it is smaller than the sum of its proper divisors (2670387552).

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

1053245088 is a wasteful number, since it uses less digits than its factorization.

1053245088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 1053245088 is about 32453.7376583961. The cubic root of 1053245088 is about 1017.4423579522.

Adding to 1053245088 its reverse (8805423501), we get a palindrome (9858668589).

The spelling of 1053245088 in words is "one billion, fifty-three million, two hundred forty-five thousand, eighty-eight".