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11020000 = 25541929
BaseRepresentation
bin101010000010…
…011011100000
3202201212121011
4222002123200
510310120000
61032110304
7162445165
oct52023340
922655534
1011020000
116247542
123835394
13238ac14
14166c06c
15e7a2ba
hexa826e0

11020000 has 120 divisors (see below), whose sum is σ = 29521800. Its totient is φ = 4032000.

The previous prime is 11019989. The next prime is 11020001. The reversal of 11020000 is 2011.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11020001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 379986 + ... + 380014.

It is an arithmetic number, because the mean of its divisors is an integer number (246015).

Almost surely, 211020000 is an apocalyptic number.

11020000 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 11020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14760900).

11020000 is an abundant number, since it is smaller than the sum of its proper divisors (18501800).

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

11020000 is an equidigital number, since it uses as much as digits as its factorization.

11020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

The square root of 11020000 is about 3319.6385345396. The cubic root of 11020000 is about 222.5327141226.

Adding to 11020000 its reverse (2011), we get a palindrome (11022011).

The spelling of 11020000 in words is "eleven million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 29 32 38 40 50 58 76 80 95 100 116 125 145 152 160 190 200 232 250 290 304 380 400 464 475 500 551 580 608 625 725 760 800 928 950 1000 1102 1160 1250 1450 1520 1900 2000 2204 2320 2375 2500 2755 2900 3040 3625 3800 4000 4408 4640 4750 5000 5510 5800 7250 7600 8816 9500 10000 11020 11600 11875 13775 14500 15200 17632 18125 19000 20000 22040 23200 23750 27550 29000 36250 38000 44080 47500 55100 58000 68875 72500 76000 88160 95000 110200 116000 137750 145000 190000 220400 275500 290000 344375 380000 440800 551000 580000 688750 1102000 1377500 2204000 2755000 5510000 11020000