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207133472 = 2571383857
BaseRepresentation
bin11000101100010…
…01101100100000
3112102202110201002
430112021230200
5411011232342
632315331132
75063414450
oct1426115440
9472673632
10207133472
11a6a15497
1259450aa8
1333bb41b0
141d71bd60
15132b7d32
hexc589b20

207133472 has 96 divisors (see below), whose sum is σ = 508540032. Its totient is φ = 80861184.

The previous prime is 207133453. The next prime is 207133481. The reversal of 207133472 is 274331702.

207133472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241268 + ... + 242124.

It is an arithmetic number, because the mean of its divisors is an integer number (5297292).

Almost surely, 2207133472 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 207133472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254270016).

207133472 is an abundant number, since it is smaller than the sum of its proper divisors (301406560).

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

207133472 is a wasteful number, since it uses less digits than its factorization.

207133472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 29.

The square root of 207133472 is about 14392.1322951118. The cubic root of 207133472 is about 591.6752845490.

The spelling of 207133472 in words is "two hundred seven million, one hundred thirty-three thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 83 91 104 112 166 182 208 224 332 364 416 581 664 728 857 1079 1162 1328 1456 1714 2158 2324 2656 2912 3428 4316 4648 5999 6856 7553 8632 9296 11141 11998 13712 15106 17264 18592 22282 23996 27424 30212 34528 44564 47992 60424 71131 77987 89128 95984 120848 142262 155974 178256 191968 241696 284524 311948 356512 497917 569048 623896 924703 995834 1138096 1247792 1849406 1991668 2276192 2495584 3698812 3983336 6472921 7397624 7966672 12945842 14795248 15933344 25891684 29590496 51783368 103566736 207133472