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96671200 = 2552149811
BaseRepresentation
bin1011100001100…
…01010111100000
320201220101221211
411300301113200
5144221434300
613331555504
72252456143
oct560612740
9221811854
1096671200
114a62855a
122845bb94
13170495c2
14cba605a
1587484ba
hex5c315e0

96671200 has 72 divisors (see below), whose sum is σ = 237875400. Its totient is φ = 38361600.

The previous prime is 96671167. The next prime is 96671203. The reversal of 96671200 is 217669.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96671203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118795 + ... + 119605.

It is an arithmetic number, because the mean of its divisors is an integer number (3303825).

Almost surely, 296671200 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 96671200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118937700).

96671200 is an abundant number, since it is smaller than the sum of its proper divisors (141204200).

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

96671200 is a wasteful number, since it uses less digits than its factorization.

96671200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 96671200 is about 9832.1513413901. The cubic root of 96671200 is about 458.9503476905.

Adding to 96671200 its reverse (217669), we get a palindrome (96888869).

The spelling of 96671200 in words is "ninety-six million, six hundred seventy-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 149 160 200 298 400 596 745 800 811 1192 1490 1622 2384 2980 3244 3725 4055 4768 5960 6488 7450 8110 11920 12976 14900 16220 20275 23840 25952 29800 32440 40550 59600 64880 81100 119200 120839 129760 162200 241678 324400 483356 604195 648800 966712 1208390 1933424 2416780 3020975 3866848 4833560 6041950 9667120 12083900 19334240 24167800 48335600 96671200