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197015328 = 2534292621
BaseRepresentation
bin10111011111000…
…11011100100000
3111201201102020000
423233203130200
5400413442303
631314420000
74611413466
oct1357433440
9451642200
10197015328
11a1234594
1255b91600
1331a80923
141c246836
1512469da3
hexbbe3720

197015328 has 120 divisors (see below), whose sum is σ = 599625180. Its totient is φ = 63383040.

The previous prime is 197015327. The next prime is 197015339. The reversal of 197015328 is 823510791.

It can be written as a sum of positive squares in 2 ways, for example, as 190108944 + 6906384 = 13788^2 + 2628^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 197015292 and 197015301.

It is not an unprimeable number, because it can be changed into a prime (197015321) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 73858 + ... + 76478.

Almost surely, 2197015328 is an apocalyptic number.

197015328 is a gapful number since it is divisible by the number (18) 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 197015328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299812590).

197015328 is an abundant number, since it is smaller than the sum of its proper divisors (402609852).

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

197015328 is a wasteful number, since it uses less digits than its factorization.

197015328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2672 (or 2655 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 197015328 is about 14036.2148743883. The cubic root of 197015328 is about 581.8798774301.

The spelling of 197015328 in words is "one hundred ninety-seven million, fifteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 81 87 96 108 116 144 162 174 216 232 261 288 324 348 432 464 522 648 696 783 864 928 1044 1296 1392 1566 2088 2349 2592 2621 2784 3132 4176 4698 5242 6264 7863 8352 9396 10484 12528 15726 18792 20968 23589 25056 31452 37584 41936 47178 62904 70767 75168 76009 83872 94356 125808 141534 152018 188712 212301 228027 251616 283068 304036 377424 424602 456054 566136 608072 684081 754848 849204 912108 1132272 1216144 1368162 1698408 1824216 2052243 2264544 2432288 2736324 3396816 3648432 4104486 5472648 6156729 6793632 7296864 8208972 10945296 12313458 16417944 21890592 24626916 32835888 49253832 65671776 98507664 197015328