Search a number
-
+
109986660 = 2235575361
BaseRepresentation
bin1101000111001…
…00001101100100
321122221220100000
412203210031210
5211124033120
614525221300
72503604550
oct643441544
9248856300
10109986660
11570a2673
1230a01830
1319a2c284
1410870860
1599c8990
hex68e4364

109986660 has 288 divisors, whose sum is σ = 409473792. Its totient is φ = 24261120.

The previous prime is 109986659. The next prime is 109986661. The reversal of 109986660 is 66689901.

It is an interprime number because it is at equal distance from previous prime (109986659) and next prime (109986661).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (109986661) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1803030 + ... + 1803090.

It is an arithmetic number, because the mean of its divisors is an integer number (1421784).

Almost surely, 2109986660 is an apocalyptic number.

109986660 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 109986660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204736896).

109986660 is an abundant number, since it is smaller than the sum of its proper divisors (299487132).

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

109986660 is a wasteful number, since it uses less digits than its factorization.

109986660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 109986660 is about 10487.4525028722. The cubic root of 109986660 is about 479.1226159715.

The spelling of 109986660 in words is "one hundred nine million, nine hundred eighty-six thousand, six hundred sixty".