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198514680 = 2335741353
BaseRepresentation
bin10111101010100…
…01011111111000
3111211112120221120
423311101133320
5401304432210
631410505240
74630230000
oct1365213770
9454476846
10198514680
11a2069021
1256595220
1332187210
141c517000
1512664270
hexbd517f8

198514680 has 320 divisors, whose sum is σ = 762320160. Its totient is φ = 41094144.

The previous prime is 198514663. The next prime is 198514711. The reversal of 198514680 is 86415891.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 3745534 + ... + 3745586.

Almost surely, 2198514680 is an apocalyptic number.

198514680 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 198514680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381160080).

198514680 is an abundant number, since it is smaller than the sum of its proper divisors (563805480).

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

198514680 is a wasteful number, since it uses less digits than its factorization.

198514680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The square root of 198514680 is about 14089.5237676793. The cubic root of 198514680 is about 583.3522482756.

It can be divided in two parts, 19851 and 4680, that added together give a triangular number (24531 = T221).

The spelling of 198514680 in words is "one hundred ninety-eight million, five hundred fourteen thousand, six hundred eighty".