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1132240020 = 2235191735741
BaseRepresentation
bin100001101111100…
…1001110010010100
32220220111202022120
41003133021302110
54304323140040
6304203455540
740025611212
oct10337116224
92826452276
101132240020
1153113575a
122772275b0
1315075b412
14aa531cb2
15696037d0
hex437c9c94

1132240020 has 96 divisors (see below), whose sum is σ = 3357002880. Its totient is φ = 284336640.

The previous prime is 1132240003. The next prime is 1132240033. The reversal of 1132240020 is 200422311.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 194350 + ... + 200090.

It is an arithmetic number, because the mean of its divisors is an integer number (34968780).

Almost surely, 21132240020 is an apocalyptic number.

1132240020 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 1132240020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678501440).

1132240020 is an abundant number, since it is smaller than the sum of its proper divisors (2224762860).

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

1132240020 is a wasteful number, since it uses less digits than its factorization.

1132240020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5945 (or 5943 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1132240020 is about 33648.7744204748. The cubic root of 1132240020 is about 1042.2682311170.

Adding to 1132240020 its reverse (200422311), we get a palindrome (1332662331).

The spelling of 1132240020 in words is "one billion, one hundred thirty-two million, two hundred forty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 173 190 228 285 346 380 519 570 692 865 1038 1140 1730 2076 2595 3287 3460 5190 5741 6574 9861 10380 11482 13148 16435 17223 19722 22964 28705 32870 34446 39444 49305 57410 65740 68892 86115 98610 109079 114820 172230 197220 218158 327237 344460 436316 545395 654474 993193 1090790 1308948 1636185 1986386 2181580 2979579 3272370 3972772 4965965 5959158 6544740 9931930 11918316 14897895 18870667 19863860 29795790 37741334 56612001 59591580 75482668 94353335 113224002 188706670 226448004 283060005 377413340 566120010 1132240020