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11126970 = 235519241
BaseRepresentation
bin101010011100…
…100010111010
3202221022100000
4222130202322
510322030340
61034253430
7163402101
oct52344272
922838300
1011126970
11630a948
123887276
1323c780a
141699038
15e9bd30
hexa9c8ba

11126970 has 96 divisors (see below), whose sum is σ = 31711680. Its totient is φ = 2799360.

The previous prime is 11126957. The next prime is 11126971. The reversal of 11126970 is 7962111.

11126970 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×111269702 = 247618922761800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11126971) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46050 + ... + 46290.

It is an arithmetic number, because the mean of its divisors is an integer number (330330).

Almost surely, 211126970 is an apocalyptic number.

11126970 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 11126970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15855840).

11126970 is an abundant number, since it is smaller than the sum of its proper divisors (20584710).

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

11126970 is a wasteful number, since it uses less digits than its factorization.

11126970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 11126970 is about 3335.7113184447. The cubic root of 11126970 is about 223.2504308522.

The spelling of 11126970 in words is "eleven million, one hundred twenty-six thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 90 95 114 135 162 171 190 241 243 270 285 342 405 482 486 513 570 723 810 855 1026 1205 1215 1446 1539 1710 2169 2410 2430 2565 3078 3615 4338 4579 4617 5130 6507 7230 7695 9158 9234 10845 13014 13737 15390 19521 21690 22895 23085 27474 32535 39042 41211 45790 46170 58563 65070 68685 82422 97605 117126 123633 137370 195210 206055 247266 292815 370899 412110 585630 618165 741798 1112697 1236330 1854495 2225394 3708990 5563485 11126970