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11422640 = 2451737227
BaseRepresentation
bin101011100100…
…101110110000
3210111022220202
4223210232300
510411011030
61044454332
7166043105
oct53445660
923438822
1011422640
1164a1aa9
1239aa3a8
13249c278
141734aac
151009745
hexae4bb0

11422640 has 80 divisors (see below), whose sum is σ = 29007072. Its totient is φ = 4165632.

The previous prime is 11422639. The next prime is 11422643. The reversal of 11422640 is 4622411.

11422640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11422643) 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, 50207 + ... + 50433.

Almost surely, 211422640 is an apocalyptic number.

11422640 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 11422640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14503536).

11422640 is an abundant number, since it is smaller than the sum of its proper divisors (17584432).

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

11422640 is a wasteful number, since it uses less digits than its factorization.

11422640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 11422640 is about 3379.7396349423. The cubic root of 11422640 is about 225.2106011686.

The spelling of 11422640 in words is "eleven million, four hundred twenty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 37 40 68 74 80 85 136 148 170 185 227 272 296 340 370 454 592 629 680 740 908 1135 1258 1360 1480 1816 2270 2516 2960 3145 3632 3859 4540 5032 6290 7718 8399 9080 10064 12580 15436 16798 18160 19295 25160 30872 33596 38590 41995 50320 61744 67192 77180 83990 134384 142783 154360 167980 285566 308720 335960 571132 671920 713915 1142264 1427830 2284528 2855660 5711320 11422640