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1125741020 = 225175635881
BaseRepresentation
bin100001100011001…
…0111000111011100
32220110021120100212
41003012113013130
54301142203040
6303412311552
736616432535
oct10306270734
92813246325
101125741020
115284a6988
122750125b8
1314c2c4261
14a971d68c
1568c6cd65
hex431971dc

1125741020 has 48 divisors (see below), whose sum is σ = 2507990688. Its totient is φ = 422983680.

The previous prime is 1125741017. The next prime is 1125741061. The reversal of 1125741020 is 201475211.

It is a super-2 number, since 2×11257410202 = 2534585688221280800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188480 + ... + 194360.

It is an arithmetic number, because the mean of its divisors is an integer number (52249806).

Almost surely, 21125741020 is an apocalyptic number.

1125741020 is a gapful number since it is divisible by the number (10) 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 1125741020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253995344).

1125741020 is an abundant number, since it is smaller than the sum of its proper divisors (1382249668).

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

1125741020 is a wasteful number, since it uses less digits than its factorization.

1125741020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6470 (or 6468 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 1125741020 is about 33552.0643180118. The cubic root of 1125741020 is about 1040.2702145496.

The spelling of 1125741020 in words is "one billion, one hundred twenty-five million, seven hundred forty-one thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 563 1126 2252 2815 5630 5881 9571 11260 11762 19142 23524 29405 38284 47855 58810 95710 99977 117620 191420 199954 399908 499885 999770 1999540 3311003 6622006 13244012 16555015 33110030 56287051 66220060 112574102 225148204 281435255 562870510 1125741020