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11143920 = 243559787
BaseRepresentation
bin101010100000…
…101011110000
3202222011120210
4222200223300
510323101140
61034504120
7163502364
oct52405360
922864523
1011143920
116321657
123895040
132402448
1416a12a4
15ea1d80
hexaa0af0

11143920 has 80 divisors (see below), whose sum is σ = 35176320. Its totient is φ = 2917632.

The previous prime is 11143903. The next prime is 11143921. The reversal of 11143920 is 2934111.

It is a tau number, because it is divible by the number of its divisors (80).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11143921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13767 + ... + 14553.

It is an arithmetic number, because the mean of its divisors is an integer number (439704).

Almost surely, 211143920 is an apocalyptic number.

11143920 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 11143920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17588160).

11143920 is an abundant number, since it is smaller than the sum of its proper divisors (24032400).

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

11143920 is a wasteful number, since it uses less digits than its factorization.

11143920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 11143920 is about 3338.2510390922. The cubic root of 11143920 is about 223.3637343828.

The spelling of 11143920 in words is "eleven million, one hundred forty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 59 60 80 118 120 177 236 240 295 354 472 590 708 787 885 944 1180 1416 1574 1770 2360 2361 2832 3148 3540 3935 4720 4722 6296 7080 7870 9444 11805 12592 14160 15740 18888 23610 31480 37776 46433 47220 62960 92866 94440 139299 185732 188880 232165 278598 371464 464330 557196 696495 742928 928660 1114392 1392990 1857320 2228784 2785980 3714640 5571960 11143920