Search a number
-
+
11322240 = 27355897
BaseRepresentation
bin101011001100…
…001110000000
3210022020012020
4223030032000
510344302430
61042401440
7165144306
oct53141600
923266166
1011322240
116433626
123960280
132465667
14170a276
15ed9b10
hexacc380

11322240 has 64 divisors (see below), whose sum is σ = 36095760. Its totient is φ = 3018752.

The previous prime is 11322229. The next prime is 11322251. The reversal of 11322240 is 4222311.

It is an interprime number because it is at equal distance from previous prime (11322229) and next prime (11322251).

It is a tau number, because it is divible by the number of its divisors (64).

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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1029 + ... + 4868.

Almost surely, 211322240 is an apocalyptic number.

11322240 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 11322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18047880).

11322240 is an abundant number, since it is smaller than the sum of its proper divisors (24773520).

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

11322240 is an equidigital number, since it uses as much as digits as its factorization.

11322240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5919 (or 5907 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 11322240 is about 3364.8536372330. The cubic root of 11322240 is about 224.5488242908.

Adding to 11322240 its reverse (4222311), we get a palindrome (15544551).

The spelling of 11322240 in words is "eleven million, three hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 5897 11794 17691 23588 29485 35382 47176 58970 70764 88455 94352 117940 141528 176910 188704 235880 283056 353820 377408 471760 566112 707640 754816 943520 1132224 1415280 1887040 2264448 2830560 3774080 5661120 11322240