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1131875980 = 2251719832111
BaseRepresentation
bin100001101110111…
…0000111010001100
32220212211020221121
41003131300322030
54304230012410
6304152010324
740022533654
oct10335607214
92825736847
101131875980
11530a071a4
122770909a4
13150661801
14aa479364
15695809da
hex43770e8c

1131875980 has 96 divisors (see below), whose sum is σ = 2682408960. Its totient is φ = 398638080.

The previous prime is 1131875939. The next prime is 1131875989. The reversal of 1131875980 is 895781311.

It is a super-2 number, since 2×11318759802 = 2562286468201920800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1131875989) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 535125 + ... + 537235.

It is an arithmetic number, because the mean of its divisors is an integer number (27941760).

Almost surely, 21131875980 is an apocalyptic number.

1131875980 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 1131875980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341204480).

1131875980 is an abundant number, since it is smaller than the sum of its proper divisors (1550532980).

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

1131875980 is a wasteful number, since it uses less digits than its factorization.

1131875980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2239 (or 2237 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 43.

The square root of 1131875980 is about 33643.3645760943. The cubic root of 1131875980 is about 1042.1565151109.

The spelling of 1131875980 in words is "one billion, one hundred thirty-one million, eight hundred seventy-five thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 83 85 95 166 170 190 323 332 340 380 415 646 830 1292 1411 1577 1615 1660 2111 2822 3154 3230 4222 5644 6308 6460 7055 7885 8444 10555 14110 15770 21110 26809 28220 31540 35887 40109 42220 53618 71774 80218 107236 134045 143548 160436 175213 179435 200545 268090 350426 358870 401090 536180 681853 700852 717740 802180 876065 1363706 1752130 2727412 2978621 3329047 3409265 3504260 5957242 6658094 6818530 11914484 13316188 13637060 14893105 16645235 29786210 33290470 56593799 59572420 66580940 113187598 226375196 282968995 565937990 1131875980