Search a number
-
+
198742736 = 24193121089
BaseRepresentation
bin10111101100010…
…01001011010000
3111211222011210002
423312021023100
5401334231421
631415425132
74632166613
oct1366111320
9454864702
10198742736
11a22043a5
12566851a8
1332236c6a
141c57617a
15126abb0b
hexbd892d0

198742736 has 40 divisors (see below), whose sum is σ = 418425600. Its totient is φ = 91100160.

The previous prime is 198742721. The next prime is 198742751. The reversal of 198742736 is 637247891.

It is an interprime number because it is at equal distance from previous prime (198742721) and next prime (198742751).

It is a super-2 number, since 2×1987427362 = 78997350225531392, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1121 + ... + 19968.

It is an arithmetic number, because the mean of its divisors is an integer number (10460640).

Almost surely, 2198742736 is an apocalyptic number.

198742736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

198742736 is an abundant number, since it is smaller than the sum of its proper divisors (219682864).

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

198742736 is a wasteful number, since it uses less digits than its factorization.

198742736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21147 (or 21141 counting only the distinct ones).

The product of its digits is 508032, while the sum is 47.

The square root of 198742736 is about 14097.6145499868. The cubic root of 198742736 is about 583.5755500955.

The spelling of 198742736 in words is "one hundred ninety-eight million, seven hundred forty-two thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 19 31 38 62 76 124 152 248 304 496 589 1178 2356 4712 9424 21089 42178 84356 168712 337424 400691 653759 801382 1307518 1602764 2615036 3205528 5230072 6411056 10460144 12421421 24842842 49685684 99371368 198742736