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197603328 = 2123131237
BaseRepresentation
bin10111100011100…
…11000000000000
3111202211021210210
423301303000000
5401041301303
631335154120
74616412666
oct1361630000
9452737723
10197603328
11a15a633a
1256215940
1331c28460
141c35ac36
1512534203
hexbc73000

197603328 has 104 divisors (see below), whose sum is σ = 567865648. Its totient is φ = 60751872.

The previous prime is 197603321. The next prime is 197603377. The reversal of 197603328 is 823306791.

It is a tau number, because it is divible by the number of its divisors (104).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (197603321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159126 + ... + 160362.

Almost surely, 2197603328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 197603328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283932824).

197603328 is an abundant number, since it is smaller than the sum of its proper divisors (370262320).

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

197603328 is a wasteful number, since it uses less digits than its factorization.

197603328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 197603328 is about 14057.1450871078. The cubic root of 197603328 is about 582.4581836167.

The spelling of 197603328 in words is "one hundred ninety-seven million, six hundred three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1024 1237 1248 1536 1664 2048 2474 2496 3072 3328 3711 4096 4948 4992 6144 6656 7422 9896 9984 12288 13312 14844 16081 19792 19968 26624 29688 32162 39584 39936 48243 53248 59376 64324 79168 79872 96486 118752 128648 158336 159744 192972 237504 257296 316672 385944 475008 514592 633344 771888 950016 1029184 1266688 1543776 1900032 2058368 2533376 3087552 3800064 4116736 5066752 6175104 7600128 8233472 12350208 15200256 16466944 24700416 32933888 49400832 65867776 98801664 197603328