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11104400 = 2452172371
BaseRepresentation
bin101010010111…
…000010010000
3202220011101002
4222113002100
510320320100
61034001132
7163246226
oct52270220
922804332
1011104400
1162a499a
1238761a8
1323ba468
141690b16
15e952d5
hexa97090

11104400 has 120 divisors (see below), whose sum is σ = 29890944. Its totient is φ = 3942400.

The previous prime is 11104393. The next prime is 11104409. The reversal of 11104400 is 440111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11104409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156365 + ... + 156435.

Almost surely, 211104400 is an apocalyptic number.

11104400 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 11104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14945472).

11104400 is an abundant number, since it is smaller than the sum of its proper divisors (18786544).

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

11104400 is a wasteful number, since it uses less digits than its factorization.

11104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 11104400 is about 3332.3265146141. The cubic root of 11104400 is about 223.0993812567.

Adding to 11104400 its reverse (440111), we get a palindrome (11544511).

The spelling of 11104400 in words is "eleven million, one hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 17 20 23 25 34 40 46 50 68 71 80 85 92 100 115 136 142 170 184 200 230 272 284 340 355 368 391 400 425 460 568 575 680 710 782 850 920 1136 1150 1207 1360 1420 1564 1633 1700 1775 1840 1955 2300 2414 2840 3128 3266 3400 3550 3910 4600 4828 5680 6035 6256 6532 6800 7100 7820 8165 9200 9656 9775 12070 13064 14200 15640 16330 19312 19550 24140 26128 27761 28400 30175 31280 32660 39100 40825 48280 55522 60350 65320 78200 81650 96560 111044 120700 130640 138805 156400 163300 222088 241400 277610 326600 444176 482800 555220 653200 694025 1110440 1388050 2220880 2776100 5552200 11104400