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109919400 = 233521671097
BaseRepresentation
bin1101000110100…
…11110010101000
321122211111001220
412203103302220
5211114410100
614523542040
72503204503
oct643236250
9248744056
10109919400
1157057088
123098a920
1319a07786
141085413a
1599b3aa0
hex68d3ca8

109919400 has 96 divisors (see below), whose sum is σ = 343103040. Its totient is φ = 29109760.

The previous prime is 109919371. The next prime is 109919413. The reversal of 109919400 is 4919901.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99652 + ... + 100748.

It is an arithmetic number, because the mean of its divisors is an integer number (3573990).

Almost surely, 2109919400 is an apocalyptic number.

109919400 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 109919400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171551520).

109919400 is an abundant number, since it is smaller than the sum of its proper divisors (233183640).

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

109919400 is a wasteful number, since it uses less digits than its factorization.

109919400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 33.

The square root of 109919400 is about 10484.2453233411. The cubic root of 109919400 is about 479.0249303116.

The spelling of 109919400 in words is "one hundred nine million, nine hundred nineteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 167 200 300 334 501 600 668 835 1002 1097 1336 1670 2004 2194 2505 3291 3340 4008 4175 4388 5010 5485 6582 6680 8350 8776 10020 10970 12525 13164 16455 16700 20040 21940 25050 26328 27425 32910 33400 43880 50100 54850 65820 82275 100200 109700 131640 164550 183199 219400 329100 366398 549597 658200 732796 915995 1099194 1465592 1831990 2198388 2747985 3663980 4396776 4579975 5495970 7327960 9159950 10991940 13739925 18319900 21983880 27479850 36639800 54959700 109919400