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1057153050 = 232524435303
BaseRepresentation
bin111111000000101…
…110000000011010
32201200012221100200
4333000232000122
54131112344200
6252522243030
735124436602
oct7700560032
92650187320
101057153050
114a280a808
12256056476
1313b02b365
14a0587c02
1562c20800
hex3f02e01a

1057153050 has 72 divisors (see below), whose sum is σ = 2847165984. Its totient is φ = 281218080.

The previous prime is 1057153033. The next prime is 1057153051. The reversal of 1057153050 is 503517501.

1057153050 is a `hidden beast` number, since 10 + 5 + 71 + 530 + 50 = 666.

It is a super-2 number, since 2×10571530502 = 2235145142248605000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1057153051) 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 35 ways as a sum of consecutive naturals, for example, 196699 + ... + 202001.

It is an arithmetic number, because the mean of its divisors is an integer number (39543972).

Almost surely, 21057153050 is an apocalyptic number.

1057153050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1057153050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423582992).

1057153050 is an abundant number, since it is smaller than the sum of its proper divisors (1790012934).

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

1057153050 is a wasteful number, since it uses less digits than its factorization.

1057153050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5764 (or 5756 counting only the distinct ones).

The product of its (nonzero) digits is 2625, while the sum is 27.

The square root of 1057153050 is about 32513.8901086905. The cubic root of 1057153050 is about 1018.6991779633.

The spelling of 1057153050 in words is "one billion, fifty-seven million, one hundred fifty-three thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 443 450 886 1329 2215 2658 3987 4430 5303 6645 7974 10606 11075 13290 15909 19935 22150 26515 31818 33225 39870 47727 53030 66450 79545 95454 99675 132575 159090 199350 238635 265150 397725 477270 795450 1193175 2349229 2386350 4698458 7047687 11746145 14095374 21143061 23492290 35238435 42286122 58730725 70476870 105715305 117461450 176192175 211430610 352384350 528576525 1057153050