Search a number
-
+
197488560 = 24351974177
BaseRepresentation
bin10111100010101…
…10111110110000
3111202121110101010
423301112332300
5401024113220
631332510520
74615424253
oct1361267660
9452543333
10197488560
11a1528095
125617b440
1331bb8149
141c32b09a
15125101e0
hexbc56fb0

197488560 has 80 divisors (see below), whose sum is σ = 615469536. Its totient is φ = 52383744.

The previous prime is 197488553. The next prime is 197488561. The reversal of 197488560 is 65884791.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×1974885603 (a number of 26 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (197488561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45192 + ... + 49368.

Almost surely, 2197488560 is an apocalyptic number.

197488560 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 197488560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307734768).

197488560 is an abundant number, since it is smaller than the sum of its proper divisors (417980976).

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

197488560 is a wasteful number, since it uses less digits than its factorization.

197488560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4390 (or 4384 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The square root of 197488560 is about 14053.0622997267. The cubic root of 197488560 is about 582.3453978869.

The spelling of 197488560 in words is "one hundred ninety-seven million, four hundred eighty-eight thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 197 240 394 591 788 985 1182 1576 1970 2364 2955 3152 3940 4177 4728 5910 7880 8354 9456 11820 12531 15760 16708 20885 23640 25062 33416 41770 47280 50124 62655 66832 83540 100248 125310 167080 200496 250620 334160 501240 822869 1002480 1645738 2468607 3291476 4114345 4937214 6582952 8228690 9874428 12343035 13165904 16457380 19748856 24686070 32914760 39497712 49372140 65829520 98744280 197488560