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110127990 = 23572193943
BaseRepresentation
bin1101001000001…
…10101101110110
321200020002012110
412210012231312
5211143043430
614532231450
72505033600
oct644065566
9250202173
10110127990
1157189875
1230a6b586
1319a7b6bb
14108aa170
159a057b0
hex6906b76

110127990 has 96 divisors (see below), whose sum is σ = 323723520. Its totient is φ = 23841216.

The previous prime is 110127973. The next prime is 110128049. The reversal of 110127990 is 99721011.

110127990 = T190 + T191 + ... + T873.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 25959 + ... + 29901.

It is an arithmetic number, because the mean of its divisors is an integer number (3372120).

Almost surely, 2110127990 is an apocalyptic number.

110127990 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 110127990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161861760).

110127990 is an abundant number, since it is smaller than the sum of its proper divisors (213595530).

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

110127990 is a wasteful number, since it uses less digits than its factorization.

110127990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3986 (or 3979 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 30.

The square root of 110127990 is about 10494.1883916766. The cubic root of 110127990 is about 479.3277481704.

The spelling of 110127990 in words is "one hundred ten million, one hundred twenty-seven thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 49 57 70 95 98 105 114 133 147 190 210 245 266 285 294 399 490 570 665 735 798 931 1330 1470 1862 1995 2793 3943 3990 4655 5586 7886 9310 11829 13965 19715 23658 27601 27930 39430 55202 59145 74917 82803 118290 138005 149834 165606 193207 224751 276010 374585 386414 414015 449502 524419 579621 749170 828030 966035 1048838 1123755 1159242 1573257 1932070 2247510 2622095 2898105 3146514 3670933 5244190 5796210 7341866 7866285 11012799 15732570 18354665 22025598 36709330 55063995 110127990