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198016480 = 25519531229
BaseRepresentation
bin10111100110101…
…11110111100000
3111210121021112201
423303113313200
5401143011410
631352102544
74623053344
oct1363276740
9453537481
10198016480
11a1858792
1256394a54
133204151c
141c427624
15125b683a
hexbcd7de0

198016480 has 96 divisors (see below), whose sum is σ = 502135200. Its totient is φ = 73562112.

The previous prime is 198016477. The next prime is 198016517. The reversal of 198016480 is 84610891.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160506 + ... + 161734.

It is an arithmetic number, because the mean of its divisors is an integer number (5230575).

Almost surely, 2198016480 is an apocalyptic number.

198016480 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 198016480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251067600).

198016480 is an abundant number, since it is smaller than the sum of its proper divisors (304118720).

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

198016480 is a wasteful number, since it uses less digits than its factorization.

198016480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The square root of 198016480 is about 14071.8328585867. The cubic root of 198016480 is about 582.8638384650.

The spelling of 198016480 in words is "one hundred ninety-eight million, sixteen thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 53 76 80 95 106 152 160 190 212 265 304 380 424 530 608 760 848 1007 1060 1229 1520 1696 2014 2120 2458 3040 4028 4240 4916 5035 6145 8056 8480 9832 10070 12290 16112 19664 20140 23351 24580 32224 39328 40280 46702 49160 65137 80560 93404 98320 116755 130274 161120 186808 196640 233510 260548 325685 373616 467020 521096 651370 747232 934040 1042192 1237603 1302740 1868080 2084384 2475206 2605480 3736160 4950412 5210960 6188015 9900824 10421920 12376030 19801648 24752060 39603296 49504120 99008240 198016480