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1157041072 = 24112927817
BaseRepresentation
bin100010011110111…
…0000101110110000
32222122011202222001
41010331300232300
54332200303242
6310451223344
740446454405
oct10475605660
92878152861
101157041072
115441350a0
122835a7b54
13155932bb5
14ad94a2ac
156b8a1eb7
hex44f70bb0

1157041072 has 60 divisors (see below), whose sum is σ = 2533125816. Its totient is φ = 507727360.

The previous prime is 1157041069. The next prime is 1157041073. The reversal of 1157041072 is 2701407511.

It is a self number, because there is not a number n which added to its sum of digits gives 1157041072.

It is not an unprimeable number, because it can be changed into a prime (1157041073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 144108 + ... + 151924.

Almost surely, 21157041072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1157041072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266562908).

1157041072 is an abundant number, since it is smaller than the sum of its proper divisors (1376084744).

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

1157041072 is a wasteful number, since it uses less digits than its factorization.

1157041072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7894 (or 7859 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 28.

The square root of 1157041072 is about 34015.3064369557. The cubic root of 1157041072 is about 1049.8234236708.

Adding to 1157041072 its reverse (2701407511), we get a palindrome (3858448583).

The spelling of 1157041072 in words is "one billion, one hundred fifty-seven million, forty-one thousand, seventy-two".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 176 232 319 464 638 841 1276 1682 2552 3364 5104 6728 7817 9251 13456 15634 18502 31268 37004 62536 74008 85987 125072 148016 171974 226693 343948 453386 687896 906772 1375792 1813544 2493623 3627088 4987246 6574097 9974492 13148194 19948984 26296388 39897968 52592776 72315067 105185552 144630134 289260268 578520536 1157041072