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1091020128 = 253111954377
BaseRepresentation
bin100000100000111…
…1010010101100000
32211000221120020220
41001001322111200
54213300121003
6300132203040
736015342462
oct10101722540
92730846226
101091020128
1150a941630
12265469480
13145058553
14a4c82132
1565bb0353
hex4107a560

1091020128 has 96 divisors (see below), whose sum is σ = 3288781440. Its totient is φ = 313205760.

The previous prime is 1091020121. The next prime is 1091020171. The reversal of 1091020128 is 8210201901.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10910201282 = 2380649839402272768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1091020098 and 1091020107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1091020121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7125 + ... + 47252.

It is an arithmetic number, because the mean of its divisors is an integer number (34258140).

Almost surely, 21091020128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1091020128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644390720).

1091020128 is an abundant number, since it is smaller than the sum of its proper divisors (2197761312).

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

1091020128 is a wasteful number, since it uses less digits than its factorization.

1091020128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54420 (or 54412 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 1091020128 is about 33030.5938184587. The cubic root of 1091020128 is about 1029.4634236654.

The spelling of 1091020128 in words is "one billion, ninety-one million, twenty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 66 76 88 96 114 132 152 176 209 228 264 304 352 418 456 528 608 627 836 912 1056 1254 1672 1824 2508 3344 5016 6688 10032 20064 54377 108754 163131 217508 326262 435016 598147 652524 870032 1033163 1196294 1305048 1740064 1794441 2066326 2392588 2610096 3099489 3588882 4132652 4785176 5220192 6198978 7177764 8265304 9570352 11364793 12397956 14355528 16530608 19140704 22729586 24795912 28711056 33061216 34094379 45459172 49591824 57422112 68188758 90918344 99183648 136377516 181836688 272755032 363673376 545510064 1091020128