Search a number
-
+
109986972 = 22319482399
BaseRepresentation
bin1101000111001…
…00010010011100
321122221220202120
412203210102130
5211124040342
614525222540
72503605504
oct643442234
9248856676
10109986972
11570a2927
1230a01a50
1319a2c464
1410870a04
1599c8aec
hex68e449c

109986972 has 24 divisors (see below), whose sum is σ = 270144000. Its totient is φ = 34732656.

The previous prime is 109986967. The next prime is 109986973. The reversal of 109986972 is 279689901.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109986973) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 240972 + ... + 241427.

It is an arithmetic number, because the mean of its divisors is an integer number (11256000).

Almost surely, 2109986972 is an apocalyptic number.

109986972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

109986972 is an abundant number, since it is smaller than the sum of its proper divisors (160157028).

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

109986972 is a wasteful number, since it uses less digits than its factorization.

109986972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482425 (or 482423 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 51.

The square root of 109986972 is about 10487.4673777800. The cubic root of 109986972 is about 479.1230690146.

The spelling of 109986972 in words is "one hundred nine million, nine hundred eighty-six thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 482399 964798 1447197 1929596 2894394 5788788 9165581 18331162 27496743 36662324 54993486 109986972