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10891040 = 255431583
BaseRepresentation
bin101001100010…
…111100100000
3202111022200212
4221202330200
510242003130
61025233252
7161400206
oct51427440
922438625
1010891040
116169666
123792828
132344304
141637076
15e51e95
hexa62f20

10891040 has 48 divisors (see below), whose sum is σ = 26345088. Its totient is φ = 4252416.

The previous prime is 10891039. The next prime is 10891057. The reversal of 10891040 is 4019801.

10891040 = T84 + T85 + ... + T403.

It is a super-2 number, since 2×108910402 = 237229504563200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10890997 and 10891015.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6089 + ... + 7671.

It is an arithmetic number, because the mean of its divisors is an integer number (548856).

Almost surely, 210891040 is an apocalyptic number.

10891040 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 10891040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13172544).

10891040 is an abundant number, since it is smaller than the sum of its proper divisors (15454048).

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

10891040 is a wasteful number, since it uses less digits than its factorization.

10891040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 10891040 is about 3300.1575719956. The cubic root of 10891040 is about 221.6612532519.

The spelling of 10891040 in words is "ten million, eight hundred ninety-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 80 86 160 172 215 344 430 688 860 1376 1583 1720 3166 3440 6332 6880 7915 12664 15830 25328 31660 50656 63320 68069 126640 136138 253280 272276 340345 544552 680690 1089104 1361380 2178208 2722760 5445520 10891040