Search a number
-
+
11790420 = 22353747113
BaseRepresentation
bin101100111110…
…100001010100
3211012000102020
4230332201110
511004243140
61100413140
7202134255
oct54764124
924160366
1011790420
116723354
123b471b0
13259a7a5
1417ccb2c
15107d6d0
hexb3e854

11790420 has 96 divisors (see below), whose sum is σ = 34933248. Its totient is φ = 2967552.

The previous prime is 11790413. The next prime is 11790439. The reversal of 11790420 is 2409711.

11790420 is digitally balanced in base 2 and base 4, because in such bases 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 31 ways as a sum of consecutive naturals, for example, 104284 + ... + 104396.

It is an arithmetic number, because the mean of its divisors is an integer number (363888).

Almost surely, 211790420 is an apocalyptic number.

11790420 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 11790420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17466624).

11790420 is an abundant number, since it is smaller than the sum of its proper divisors (23142828).

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

11790420 is a wasteful number, since it uses less digits than its factorization.

11790420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 11790420 is about 3433.7181014172. The cubic root of 11790420 is about 227.6021841005.

The spelling of 11790420 in words is "eleven million, seven hundred ninety thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 47 60 74 94 111 113 141 148 185 188 222 226 235 282 339 370 444 452 470 555 564 565 678 705 740 940 1110 1130 1356 1410 1695 1739 2220 2260 2820 3390 3478 4181 5217 5311 6780 6956 8362 8695 10434 10622 12543 15933 16724 17390 20868 20905 21244 25086 26085 26555 31866 34780 41810 50172 52170 53110 62715 63732 79665 83620 104340 106220 125430 159330 196507 250860 318660 393014 589521 786028 982535 1179042 1965070 2358084 2947605 3930140 5895210 11790420