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149796 = 22331973
BaseRepresentation
bin100100100100100100
321121111000
4210210210
514243141
63113300
71162503
oct444444
9247430
10149796
11a25a9
1272830
135324a
143c83a
152e5b6
hex24924

149796 has 48 divisors (see below), whose sum is σ = 414400. Its totient is φ = 46656.

The previous prime is 149791. The next prime is 149803. The reversal of 149796 is 697941.

149796 = T24 + T25 + ... + T96.

149796 is nontrivially palindromic in base 8.

It is a Harshad number since it is a multiple of its sum of digits (36).

149796 is a nontrivial repdigit in base 8.

It is a plaindrome in base 8.

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 149796.

It is not an unprimeable number, because it can be changed into a prime (149791) by changing a digit.

149796 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2016 + ... + 2088.

2149796 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207200).

149796 is an abundant number, since it is smaller than the sum of its proper divisors (264604).

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

149796 is a wasteful number, since it uses less digits than its factorization.

149796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 97 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 149796 is about 387.0348821489. The cubic root of 149796 is about 53.1088306039.

The spelling of 149796 in words is "one hundred forty-nine thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 73 76 108 114 146 171 219 228 292 342 438 513 657 684 876 1026 1314 1387 1971 2052 2628 2774 3942 4161 5548 7884 8322 12483 16644 24966 37449 49932 74898 149796