Search a number
-
+
110166972 = 22319794639
BaseRepresentation
bin1101001000100…
…00001110111100
321200022001200020
412210100032330
5211200320342
614533132140
72505255336
oct644201674
9250261606
10110166972
1157206093
1230a8a050
1319a93376
14108ba456
159a120ec
hex69103bc

110166972 has 24 divisors (see below), whose sum is σ = 257241600. Its totient is φ = 36695856.

The previous prime is 110166971. The next prime is 110167069. The reversal of 110166972 is 279661011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110166971) 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, 21429 + ... + 26067.

It is an arithmetic number, because the mean of its divisors is an integer number (10718400).

Almost surely, 2110166972 is an apocalyptic number.

110166972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110166972 is an abundant number, since it is smaller than the sum of its proper divisors (147074628).

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

110166972 is a wasteful number, since it uses less digits than its factorization.

110166972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6625 (or 6623 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 110166972 is about 10496.0455410597. The cubic root of 110166972 is about 479.3842973730.

The spelling of 110166972 in words is "one hundred ten million, one hundred sixty-six thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 1979 3958 4639 5937 7916 9278 11874 13917 18556 23748 27834 55668 9180581 18361162 27541743 36722324 55083486 110166972