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198361296 = 24327307641
BaseRepresentation
bin10111101001011…
…00000011010000
3111211020210112200
423310230003100
5401240030141
631403323200
74626020550
oct1364540320
9454223480
10198361296
11a1a73861
1256520500
1332132463
141c4b7160
1512633ab6
hexbd2c0d0

198361296 has 120 divisors (see below), whose sum is σ = 637500864. Its totient is φ = 56401920.

The previous prime is 198361271. The next prime is 198361309. The reversal of 198361296 is 692163891.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 309136 + ... + 309776.

Almost surely, 2198361296 is an apocalyptic number.

198361296 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 198361296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318750432).

198361296 is an abundant number, since it is smaller than the sum of its proper divisors (439139568).

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

198361296 is a wasteful number, since it uses less digits than its factorization.

198361296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 960 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 198361296 is about 14084.0795226383. The cubic root of 198361296 is about 583.2019655926.

The spelling of 198361296 in words is "one hundred ninety-eight million, three hundred sixty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 307 336 504 614 641 921 1008 1228 1282 1842 1923 2149 2456 2564 2763 3684 3846 4298 4487 4912 5128 5526 5769 6447 7368 7692 8596 8974 10256 11052 11538 12894 13461 14736 15384 17192 17948 19341 22104 23076 25788 26922 30768 34384 35896 38682 40383 44208 46152 51576 53844 71792 77364 80766 92304 103152 107688 154728 161532 196787 215376 309456 323064 393574 590361 646128 787148 1180722 1377509 1574296 1771083 2361444 2755018 3148592 3542166 4132527 4722888 5510036 7084332 8265054 9445776 11020072 12397581 14168664 16530108 22040144 24795162 28337328 33060216 49590324 66120432 99180648 198361296