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1137998190 = 23571731103
BaseRepresentation
bin100001111010100…
…0111100101101110
32221022100022001010
41003311013211232
54312311420230
6304531130050
740125552660
oct10365074556
92838308033
101137998190
1153440897a
12279143926
131519c6314
14ab1d0530
1569d8e9b0
hex43d4796e

1137998190 has 128 divisors (see below), whose sum is σ = 3319418880. Its totient is φ = 244591104.

The previous prime is 1137998131. The next prime is 1137998219. The reversal of 1137998190 is 918997311.

It is a happy number.

It is a super-2 number, since 2×11379981902 = 2590079760886552200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1031179 + ... + 1032281.

It is an arithmetic number, because the mean of its divisors is an integer number (25932960).

Almost surely, 21137998190 is an apocalyptic number.

1137998190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1137998190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659709440).

1137998190 is an abundant number, since it is smaller than the sum of its proper divisors (2181420690).

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

1137998190 is a wasteful number, since it uses less digits than its factorization.

1137998190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 48.

The square root of 1137998190 is about 33734.2287595255. The cubic root of 1137998190 is about 1044.0321128244.

The spelling of 1137998190 in words is "one billion, one hundred thirty-seven million, nine hundred ninety-eight thousand, one hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 51 70 85 102 105 119 170 210 238 255 289 357 510 578 595 714 867 1103 1190 1445 1734 1785 2023 2206 2890 3309 3570 4046 4335 4913 5515 6069 6618 7721 8670 9826 10115 11030 12138 14739 15442 16545 18751 20230 23163 24565 29478 30345 33090 34391 37502 38605 46326 49130 56253 60690 68782 73695 77210 93755 103173 112506 115815 131257 147390 171955 187510 206346 231630 262514 281265 318767 343910 393771 515865 562530 637534 656285 787542 956301 1031730 1312570 1593835 1912602 1968855 2231369 3187670 3937710 4462738 4781505 5419039 6694107 9563010 10838078 11156845 13388214 16257117 22313690 27095195 32514234 33470535 37933273 54190390 66941070 75866546 81285585 113799819 162571170 189666365 227599638 379332730 568999095 1137998190