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11921940 = 22325107619
BaseRepresentation
bin101101011110…
…101000010100
3211102200211100
4231132220110
511023000230
61103310100
7203222562
oct55365024
924380740
1011921940
116803148
123bab330
132615604
141824a32
1510a7660
hexb5ea14

11921940 has 72 divisors (see below), whose sum is σ = 36560160. Its totient is φ = 3144384.

The previous prime is 11921933. The next prime is 11921957. The reversal of 11921940 is 4912911.

11921940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 18951 + ... + 19569.

It is an arithmetic number, because the mean of its divisors is an integer number (507780).

Almost surely, 211921940 is an apocalyptic number.

11921940 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 11921940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18280080).

11921940 is an abundant number, since it is smaller than the sum of its proper divisors (24638220).

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

11921940 is a wasteful number, since it uses less digits than its factorization.

11921940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 11921940 is about 3452.8162418524. The cubic root of 11921940 is about 228.4453437802.

The spelling of 11921940 in words is "eleven million, nine hundred twenty-one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 107 180 214 321 428 535 619 642 963 1070 1238 1284 1605 1857 1926 2140 2476 3095 3210 3714 3852 4815 5571 6190 6420 7428 9285 9630 11142 12380 18570 19260 22284 27855 37140 55710 66233 111420 132466 198699 264932 331165 397398 596097 662330 794796 993495 1192194 1324660 1986990 2384388 2980485 3973980 5960970 11921940