Search a number
-
+
11001720 = 2335175393
BaseRepresentation
bin101001111101…
…111101111000
3202200221112010
4221331331320
510304023340
61031445520
7162340662
oct51757570
922627463
1011001720
116234834
1238268a0
1323827c2
141665532
15e74b80
hexa7df78

11001720 has 64 divisors (see below), whose sum is σ = 34953120. Its totient is φ = 2760704.

The previous prime is 11001719. The next prime is 11001721. The reversal of 11001720 is 2710011.

It is an interprime number because it is at equal distance from previous prime (11001719) and next prime (11001721).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11001696 and 11001705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001721) 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, 657 + ... + 4736.

Almost surely, 211001720 is an apocalyptic number.

11001720 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 11001720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17476560).

11001720 is an abundant number, since it is smaller than the sum of its proper divisors (23951400).

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

11001720 is a wasteful number, since it uses less digits than its factorization.

11001720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5424 (or 5420 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 12.

The square root of 11001720 is about 3316.8840799763. The cubic root of 11001720 is about 222.4096001066.

Adding to 11001720 its reverse (2710011), we get a palindrome (13711731).

The spelling of 11001720 in words is "eleven million, one thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 5393 10786 16179 21572 26965 32358 43144 53930 64716 80895 91681 107860 129432 161790 183362 215720 275043 323580 366724 458405 550086 647160 733448 916810 1100172 1375215 1833620 2200344 2750430 3667240 5500860 11001720