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198408132 = 223213423949
BaseRepresentation
bin10111101001101…
…11011111000100
3111211100011210100
423310313133010
5401243030012
631404324100
74626304236
oct1364673704
9454304710
10198408132
11a1aa5a6a
1256543630
133214a880
141c4ca256
15126428dc
hexbd377c4

198408132 has 36 divisors (see below), whose sum is σ = 540112300. Its totient is φ = 61048512.

The previous prime is 198408113. The next prime is 198408193. The reversal of 198408132 is 231804891.

It can be written as a sum of positive squares in 2 ways, for example, as 75064896 + 123343236 = 8664^2 + 11106^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 211507 + ... + 212442.

Almost surely, 2198408132 is an apocalyptic number.

198408132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

198408132 is an abundant number, since it is smaller than the sum of its proper divisors (341704168).

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

198408132 is a wasteful number, since it uses less digits than its factorization.

198408132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423972 (or 423967 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 198408132 is about 14085.7421529716. The cubic root of 198408132 is about 583.2478628153.

It can be divided in two parts, 19840 and 8132, that added together give a palindrome (27972).

The spelling of 198408132 in words is "one hundred ninety-eight million, four hundred eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 423949 847898 1271847 1695796 2543694 3815541 5087388 5511337 7631082 11022674 15262164 16534011 22045348 33068022 49602033 66136044 99204066 198408132