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1125771840 = 26325390893
BaseRepresentation
bin100001100011001…
…1110101001000000
32220110100010122100
41003012132221000
54301144144330
6303413110400
736616621434
oct10306365100
92813303570
101125771840
11528518056
12275028400
1314c3052ab
14a972a9c4
1568c77060
hex4319ea40

1125771840 has 84 divisors (see below), whose sum is σ = 3872195964. Its totient is φ = 300205056.

The previous prime is 1125771833. The next prime is 1125771853. The reversal of 1125771840 is 481775211.

1125771840 is a `hidden beast` number, since 1 + 1 + 2 + 577 + 1 + 84 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 176145984 + 949625856 = 13272^2 + 30816^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1125771795 and 1125771804.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 192567 + ... + 198326.

It is an arithmetic number, because the mean of its divisors is an integer number (46097571).

Almost surely, 21125771840 is an apocalyptic number.

1125771840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1125771840 is an abundant number, since it is smaller than the sum of its proper divisors (2746424124).

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

1125771840 is a wasteful number, since it uses less digits than its factorization.

1125771840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390916 (or 390903 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The square root of 1125771840 is about 33552.5236010646. The cubic root of 1125771840 is about 1040.2797078034.

The spelling of 1125771840 in words is "one billion, one hundred twenty-five million, seven hundred seventy-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 390893 781786 1172679 1563572 1954465 2345358 3127144 3518037 3908930 4690716 5863395 6254288 7036074 7817860 9381432 11726790 12508576 14072148 15635720 17590185 18762864 23453580 25017152 28144296 31271440 35180370 37525728 46907160 56288592 62542880 70360740 75051456 93814320 112577184 125085760 140721480 187628640 225154368 281442960 375257280 562885920 1125771840