[go: up one dir, main page]

Search a number
-
+
1901088 = 253272341
BaseRepresentation
bin111010000001000100000
310120120210200
413100020200
5441313323
6104425200
722105350
oct7201040
93516720
101901088
111089352
12778200
13517407
14376b60
15278443
hex1d0220

1901088 has 144 divisors (see below), whose sum is σ = 6604416. Its totient is φ = 506880.

The previous prime is 1901087. The next prime is 1901089. The reversal of 1901088 is 8801091.

It is an interprime number because it is at equal distance from previous prime (1901087) and next prime (1901089).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×19010882 = 7228271167488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1901087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46348 + ... + 46388.

It is an arithmetic number, because the mean of its divisors is an integer number (45864).

21901088 is an apocalyptic number.

1901088 is a gapful number since it is divisible by the number (18) 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 1901088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3302208).

1901088 is an abundant number, since it is smaller than the sum of its proper divisors (4703328).

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

1901088 is a wasteful number, since it uses less digits than its factorization.

1901088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 1901088 is about 1378.7994778067. The cubic root of 1901088 is about 123.8798697819.

The spelling of 1901088 in words is "one million, nine hundred one thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 32 36 41 42 46 48 56 63 69 72 82 84 92 96 112 123 126 138 144 161 164 168 184 207 224 246 252 276 287 288 322 328 336 368 369 414 483 492 504 552 574 644 656 672 736 738 828 861 943 966 984 1008 1104 1148 1288 1312 1449 1476 1656 1722 1886 1932 1968 2016 2208 2296 2576 2583 2829 2898 2952 3312 3444 3772 3864 3936 4592 5152 5166 5658 5796 5904 6601 6624 6888 7544 7728 8487 9184 10332 11316 11592 11808 13202 13776 15088 15456 16974 19803 20664 22632 23184 26404 27552 30176 33948 39606 41328 45264 46368 52808 59409 67896 79212 82656 90528 105616 118818 135792 158424 211232 237636 271584 316848 475272 633696 950544 1901088