Search a number
-
+
109939400 = 23521813037
BaseRepresentation
bin1101000110110…
…00101011001000
321122212111111122
412203120223020
5211121030100
614524214412
72503320014
oct643305310
9248774448
10109939400
115707010a
123099a408
1319a138cc
141085b544
1599b9985
hex68d8ac8

109939400 has 48 divisors (see below), whose sum is σ = 257105940. Its totient is φ = 43718400.

The previous prime is 109939399. The next prime is 109939411. The reversal of 109939400 is 4939901.

It can be written as a sum of positive squares in 6 ways, for example, as 24820324 + 85119076 = 4982^2 + 9226^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34682 + ... + 37718.

Almost surely, 2109939400 is an apocalyptic number.

109939400 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 109939400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128552970).

109939400 is an abundant number, since it is smaller than the sum of its proper divisors (147166540).

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

109939400 is a wasteful number, since it uses less digits than its factorization.

109939400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3234 (or 3225 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 35.

The square root of 109939400 is about 10485.1990920535. The cubic root of 109939400 is about 479.0539816516.

The spelling of 109939400 in words is "one hundred nine million, nine hundred thirty-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 181 200 362 724 905 1448 1810 3037 3620 4525 6074 7240 9050 12148 15185 18100 24296 30370 36200 60740 75925 121480 151850 303700 549697 607400 1099394 2198788 2748485 4397576 5496970 10993940 13742425 21987880 27484850 54969700 109939400