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198060072 = 233711310433
BaseRepresentation
bin10111100111000…
…10100000101000
3111210200111100020
423303202200220
5401200410242
631353040440
74623324420
oct1363424050
9453614306
10198060072
11a1888511
12563b6120
1332058312
141c439480
15125c46ec
hexbce2828

198060072 has 64 divisors (see below), whose sum is σ = 570948480. Its totient is φ = 56082432.

The previous prime is 198060067. The next prime is 198060073. The reversal of 198060072 is 270060891.

It is not an unprimeable number, because it can be changed into a prime (198060073) 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, 13768 + ... + 24200.

It is an arithmetic number, because the mean of its divisors is an integer number (8921070).

Almost surely, 2198060072 is an apocalyptic number.

198060072 is a gapful number since it is divisible by the number (12) 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 198060072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285474240).

198060072 is an abundant number, since it is smaller than the sum of its proper divisors (372888408).

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

198060072 is a wasteful number, since it uses less digits than its factorization.

198060072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10562 (or 10558 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 198060072 is about 14073.3816831634. The cubic root of 198060072 is about 582.9066065151.

The spelling of 198060072 in words is "one hundred ninety-eight million, sixty thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 113 168 226 339 452 678 791 904 1356 1582 2373 2712 3164 4746 6328 9492 10433 18984 20866 31299 41732 62598 73031 83464 125196 146062 219093 250392 292124 438186 584248 876372 1178929 1752744 2357858 3536787 4715716 7073574 8252503 9431432 14147148 16505006 24757509 28294296 33010012 49515018 66020024 99030036 198060072