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11137020 = 2235419443
BaseRepresentation
bin101010011110…
…111111111100
3202221211010020
4222132333330
510322341040
61034412140
7163443306
oct52367774
922854106
1011137020
116317454
123891050
1323cc26b
14169c976
15e9ecd0
hexa9effc

11137020 has 48 divisors (see below), whose sum is σ = 31328640. Its totient is φ = 2956096.

The previous prime is 11137013. The next prime is 11137031. The reversal of 11137020 is 2073111.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24919 + ... + 25361.

It is an arithmetic number, because the mean of its divisors is an integer number (652680).

Almost surely, 211137020 is an apocalyptic number.

11137020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11137020 is an abundant number, since it is smaller than the sum of its proper divisors (20191620).

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

11137020 is a wasteful number, since it uses less digits than its factorization.

11137020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 11137020 is about 3337.2174037662. The cubic root of 11137020 is about 223.3176246965.

The spelling of 11137020 in words is "eleven million, one hundred thirty-seven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 419 443 838 886 1257 1329 1676 1772 2095 2215 2514 2658 4190 4430 5028 5316 6285 6645 8380 8860 12570 13290 25140 26580 185617 371234 556851 742468 928085 1113702 1856170 2227404 2784255 3712340 5568510 11137020