Search a number
-
+
2469120 = 2835643
BaseRepresentation
bin1001011010110100000000
311122102222220
421122310000
51113002440
6124531040
726662413
oct11326400
94572886
102469120
1114370a5
129b0a80
13685b24
14483b7a
1533b8d0
hex25ad00

2469120 has 72 divisors (see below), whose sum is σ = 7898016. Its totient is φ = 657408.

The previous prime is 2469067. The next prime is 2469149. The reversal of 2469120 is 219642.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 3519 + ... + 4161.

22469120 is an apocalyptic number.

2469120 is a gapful number since it is divisible by the number (20) 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 2469120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3949008).

2469120 is an abundant number, since it is smaller than the sum of its proper divisors (5428896).

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

2469120 is an equidigital number, since it uses as much as digits as its factorization.

2469120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 2469120 is about 1571.3433743138. The cubic root of 2469120 is about 135.1597560040.

The spelling of 2469120 in words is "two million, four hundred sixty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 643 768 960 1280 1286 1920 1929 2572 3215 3840 3858 5144 6430 7716 9645 10288 12860 15432 19290 20576 25720 30864 38580 41152 51440 61728 77160 82304 102880 123456 154320 164608 205760 246912 308640 411520 493824 617280 823040 1234560 2469120