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198189696 = 2733116649
BaseRepresentation
bin10111101000000…
…10001010000000
3111210221002011010
423310002022000
5401214032241
631355520520
74624404345
oct1364021200
9453832133
10198189696
11a1966941
1256459140
13320a2313
141c4707cc
15125ecd16
hexbd02280

198189696 has 64 divisors (see below), whose sum is σ = 543456000. Its totient is φ = 63928320.

The previous prime is 198189661. The next prime is 198189701. The reversal of 198189696 is 696981891.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3580 + ... + 20228.

It is an arithmetic number, because the mean of its divisors is an integer number (8491500).

Almost surely, 2198189696 is an apocalyptic number.

198189696 is a gapful number since it is divisible by the number (16) 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 198189696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271728000).

198189696 is an abundant number, since it is smaller than the sum of its proper divisors (345266304).

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

198189696 is a wasteful number, since it uses less digits than its factorization.

198189696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16697 (or 16685 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 57.

The square root of 198189696 is about 14077.9862196267. The cubic root of 198189696 is about 583.0337433775.

The spelling of 198189696 in words is "one hundred ninety-eight million, one hundred eighty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 744 992 1488 1984 2976 3968 5952 11904 16649 33298 49947 66596 99894 133192 199788 266384 399576 516119 532768 799152 1032238 1065536 1548357 1598304 2064476 2131072 3096714 3196608 4128952 6193428 6393216 8257904 12386856 16515808 24773712 33031616 49547424 66063232 99094848 198189696