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1133919990 = 232579831831
BaseRepresentation
bin100001110010110…
…0011111011110110
32221000200002210200
41003211203323312
54310240414430
6304303501330
740046106120
oct10345437366
92830602720
101133919990
11532082965
122778b7846
13150bc8c98
14aa84c210
1569836460
hex43963ef6

1133919990 has 96 divisors (see below), whose sum is σ = 3374631936. Its totient is φ = 258776640.

The previous prime is 1133919977. The next prime is 1133920027. The reversal of 1133919990 is 999193311.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 618375 + ... + 620205.

It is an arithmetic number, because the mean of its divisors is an integer number (35152416).

Almost surely, 21133919990 is an apocalyptic number.

1133919990 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 1133919990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687315968).

1133919990 is an abundant number, since it is smaller than the sum of its proper divisors (2240711946).

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

1133919990 is a wasteful number, since it uses less digits than its factorization.

1133919990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2834 (or 2831 counting only the distinct ones).

The product of its (nonzero) digits is 59049, while the sum is 45.

The square root of 1133919990 is about 33673.7284837899. The cubic root of 1133919990 is about 1042.7834675900.

It can be divided in two parts, 11339 and 19990, that added together give a square (31329 = 1772).

The spelling of 1133919990 in words is "one billion, one hundred thirty-three million, nine hundred nineteen thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 983 1831 1966 2949 3662 4915 5493 5898 6881 8847 9155 9830 10986 12817 13762 14745 16479 17694 18310 20643 25634 27465 29490 32958 34405 38451 41286 44235 54930 61929 64085 68810 76902 82395 88470 103215 115353 123858 128170 164790 192255 206430 230706 309645 384510 576765 619290 1153530 1799873 3599746 5399619 8999365 10799238 12599111 16198857 17998730 25198222 26998095 32397714 37797333 53996190 62995555 75594666 80994285 113391999 125991110 161988570 188986665 226783998 377973330 566959995 1133919990