Search a number
-
+
1090454100 = 2235219718451
BaseRepresentation
bin100000011111111…
…0000001001010100
32210222212210210220
41000333300021110
54213124012400
6300112114340
736010464321
oct10077601124
92728783726
101090454100
1150a59533a
122652359b0
13144bbaa18
14a4b75b48
1565aec7a0
hex40ff0254

1090454100 has 72 divisors (see below), whose sum is σ = 3171234528. Its totient is φ = 289296000.

The previous prime is 1090454089. The next prime is 1090454111. The reversal of 1090454100 is 14540901.

It is an interprime number because it is at equal distance from previous prime (1090454089) and next prime (1090454111).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49875 + ... + 68325.

It is an arithmetic number, because the mean of its divisors is an integer number (44044924).

Almost surely, 21090454100 is an apocalyptic number.

1090454100 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 1090454100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585617264).

1090454100 is an abundant number, since it is smaller than the sum of its proper divisors (2080780428).

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

1090454100 is a wasteful number, since it uses less digits than its factorization.

1090454100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18665 (or 18658 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 1090454100 is about 33022.0244685271. The cubic root of 1090454100 is about 1029.2853622018.

The spelling of 1090454100 in words is "one billion, ninety million, four hundred fifty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 197 300 394 591 788 985 1182 1970 2364 2955 3940 4925 5910 9850 11820 14775 18451 19700 29550 36902 55353 59100 73804 92255 110706 184510 221412 276765 369020 461275 553530 922550 1107060 1383825 1845100 2767650 3634847 5535300 7269694 10904541 14539388 18174235 21809082 36348470 43618164 54522705 72696940 90871175 109045410 181742350 218090820 272613525 363484700 545227050 1090454100