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198097536 = 2737135669
BaseRepresentation
bin10111100111010…
…11101010000000
3111210202101201210
423303223222000
5401203110121
631353530120
74623541560
oct1363535200
9453671653
10198097536
11a190367a
1256413940
133206c3a0
141c448da0
15125d0876
hexbceba80

198097536 has 128 divisors (see below), whose sum is σ = 647740800. Its totient is φ = 52236288.

The previous prime is 198097469. The next prime is 198097573. The reversal of 198097536 is 635790891.

198097536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32110 + ... + 37778.

It is an arithmetic number, because the mean of its divisors is an integer number (5060475).

Almost surely, 2198097536 is an apocalyptic number.

198097536 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 198097536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323870400).

198097536 is an abundant number, since it is smaller than the sum of its proper divisors (449643264).

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

198097536 is a wasteful number, since it uses less digits than its factorization.

198097536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5706 (or 5694 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 48.

The square root of 198097536 is about 14074.7126436031. The cubic root of 198097536 is about 582.9433573791.

The spelling of 198097536 in words is "one hundred ninety-eight million, ninety-seven thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 273 312 336 364 384 416 448 546 624 672 728 832 896 1092 1248 1344 1456 1664 2184 2496 2688 2912 4368 4992 5669 5824 8736 11338 11648 17007 17472 22676 34014 34944 39683 45352 68028 73697 79366 90704 119049 136056 147394 158732 181408 221091 238098 272112 294788 317464 362816 442182 476196 515879 544224 589576 634928 725632 884364 952392 1031758 1088448 1179152 1269856 1547637 1768728 1904784 2063516 2176896 2358304 2539712 3095274 3537456 3809568 4127032 4716608 5079424 6190548 7074912 7619136 8254064 9433216 12381096 14149824 15238272 16508128 24762192 28299648 33016256 49524384 66032512 99048768 198097536