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1053153252 = 22354723053
BaseRepresentation
bin111110110001011…
…101011111100100
32201101200201200000
4332301131133210
54124101401002
6252300421300
735045440434
oct7661353744
92641621600
101053153252
114a0528698
12254847830
1313a25a908
149dc262c4
15626d061c
hex3ec5d7e4

1053153252 has 72 divisors (see below), whose sum is σ = 2819596416. Its totient is φ = 343567008.

The previous prime is 1053153239. The next prime is 1053153253. The reversal of 1053153252 is 2523513501.

It is a happy number.

It is a super-2 number, since 2×10531532522 = 2218263544396351008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1053153253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34158 + ... + 57210.

Almost surely, 21053153252 is an apocalyptic number.

1053153252 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 1053153252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409798208).

1053153252 is an abundant number, since it is smaller than the sum of its proper divisors (1766443164).

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

1053153252 is a wasteful number, since it uses less digits than its factorization.

1053153252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23119 (or 23105 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 1053153252 is about 32452.3227520004. The cubic root of 1053153252 is about 1017.4127856797.

Adding to 1053153252 its reverse (2523513501), we get a palindrome (3576666753).

The spelling of 1053153252 in words is "one billion, fifty-three million, one hundred fifty-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 81 94 108 141 162 188 243 282 324 423 486 564 846 972 1269 1692 2538 3807 5076 7614 11421 15228 22842 23053 45684 46106 69159 92212 138318 207477 276636 414954 622431 829908 1083491 1244862 1867293 2166982 2489724 3250473 3734586 4333964 5601879 6500946 7469172 9751419 11203758 13001892 19502838 22407516 29254257 39005676 58508514 87762771 117017028 175525542 263288313 351051084 526576626 1053153252