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1132002000 = 24335320963
BaseRepresentation
bin100001101111000…
…1111101011010000
32220220001122211000
41003132033223100
54304243031000
6304154422000
740023600243
oct10336175320
92826048730
101132002000
11530a92948
12277131900
131506a6c8c
14aa4ad25a
15695a8000
hex4378fad0

1132002000 has 160 divisors (see below), whose sum is σ = 4055276160. Its totient is φ = 301852800.

The previous prime is 1132001999. The next prime is 1132002023. The reversal of 1132002000 is 2002311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43519 + ... + 64481.

It is an arithmetic number, because the mean of its divisors is an integer number (25345476).

Almost surely, 21132002000 is an apocalyptic number.

1132002000 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 1132002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2027638080).

1132002000 is an abundant number, since it is smaller than the sum of its proper divisors (2923274160).

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

1132002000 is a wasteful number, since it uses less digits than its factorization.

1132002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20995 (or 20973 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1132002000 is about 33645.2374044232. The cubic root of 1132002000 is about 1042.1951906350.

Adding to 1132002000 its reverse (2002311), we get a palindrome (1134004311).

The spelling of 1132002000 in words is "one billion, one hundred thirty-two million, two thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 90 100 108 120 125 135 144 150 180 200 216 225 240 250 270 300 360 375 400 432 450 500 540 600 675 720 750 900 1000 1080 1125 1200 1350 1500 1800 2000 2160 2250 2700 3000 3375 3600 4500 5400 6000 6750 9000 10800 13500 18000 20963 27000 41926 54000 62889 83852 104815 125778 167704 188667 209630 251556 314445 335408 377334 419260 503112 524075 566001 628890 754668 838520 943335 1006224 1048150 1132002 1257780 1509336 1572225 1677040 1886670 2096300 2264004 2515560 2620375 2830005 3018672 3144450 3773340 4192600 4528008 4716675 5031120 5240750 5660010 6288900 7546680 7861125 8385200 9056016 9433350 10481500 11320020 12577800 14150025 15093360 15722250 18866700 20963000 22640040 23583375 25155600 28300050 31444500 37733400 41926000 45280080 47166750 56600100 62889000 70750125 75466800 94333500 113200200 125778000 141500250 188667000 226400400 283000500 377334000 566001000 1132002000