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11991900 = 2235271563
BaseRepresentation
bin101101101111…
…101101011100
3211120020210110
4231233231130
511032220100
61105010020
7203633544
oct55575534
924506713
1011991900
116850768
124023910
13263b3cb
141842324
1510bd250
hexb6fb5c

11991900 has 72 divisors (see below), whose sum is σ = 35247744. Its totient is φ = 3147200.

The previous prime is 11991839. The next prime is 11991911. The reversal of 11991900 is 919911.

It is a super-2 number, since 2×119919002 = 287611331220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21019 + ... + 21581.

It is an arithmetic number, because the mean of its divisors is an integer number (489552).

Almost surely, 211991900 is an apocalyptic number.

11991900 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 11991900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17623872).

11991900 is an abundant number, since it is smaller than the sum of its proper divisors (23255844).

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

11991900 is a wasteful number, since it uses less digits than its factorization.

11991900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 30.

The square root of 11991900 is about 3462.9322834846. The cubic root of 11991900 is about 228.8913247752.

The spelling of 11991900 in words is "eleven million, nine hundred ninety-one thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 71 75 100 142 150 213 284 300 355 426 563 710 852 1065 1126 1420 1689 1775 2130 2252 2815 3378 3550 4260 5325 5630 6756 7100 8445 10650 11260 14075 16890 21300 28150 33780 39973 42225 56300 79946 84450 119919 159892 168900 199865 239838 399730 479676 599595 799460 999325 1199190 1998650 2398380 2997975 3997300 5995950 11991900