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206956152 = 2332131271741
BaseRepresentation
bin11000101010111…
…10011001111000
3112102102110110200
430111132121320
5410440044102
632311442200
75062045464
oct1425363170
9472373420
10206956152
11a6904247
1259386360
1333b51580
141d6b34a4
151328051c
hexc55e678

206956152 has 96 divisors (see below), whose sum is σ = 608724480. Its totient is φ = 63141120.

The previous prime is 206956109. The next prime is 206956159. The reversal of 206956152 is 251659602.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206956159) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118002 + ... + 119742.

It is an arithmetic number, because the mean of its divisors is an integer number (6340880).

Almost surely, 2206956152 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 206956152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304362240).

206956152 is an abundant number, since it is smaller than the sum of its proper divisors (401768328).

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

206956152 is a wasteful number, since it uses less digits than its factorization.

206956152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1893 (or 1886 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 206956152 is about 14385.9706658953. The cubic root of 206956152 is about 591.5063985758.

The spelling of 206956152 in words is "two hundred six million, nine hundred fifty-six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 127 156 234 254 312 381 468 508 762 936 1016 1143 1524 1651 1741 2286 3048 3302 3482 4572 4953 5223 6604 6964 9144 9906 10446 13208 13928 14859 15669 19812 20892 22633 29718 31338 39624 41784 45266 59436 62676 67899 90532 118872 125352 135798 181064 203697 221107 271596 407394 442214 543192 663321 814788 884428 1326642 1629576 1768856 1989963 2653284 2874391 3979926 5306568 5748782 7959852 8623173 11497564 15919704 17246346 22995128 25869519 34492692 51739038 68985384 103478076 206956152