Search a number
-
+
201650976 = 2532798863
BaseRepresentation
bin11000000010011…
…11001100100000
3112001102221010200
430001033030200
5403110312401
632002025200
74666001502
oct1401171440
9461387120
10201650976
11a39103aa
1257648200
1332a14907
141cad1d72
1512a83686
hexc04f320

201650976 has 72 divisors (see below), whose sum is σ = 580769280. Its totient is φ = 66358656.

The previous prime is 201650963. The next prime is 201650993. The reversal of 201650976 is 679056102.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×2016509762 = 81326232243505152, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 201650976.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18321 + ... + 27183.

It is an arithmetic number, because the mean of its divisors is an integer number (8066240).

Almost surely, 2201650976 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 201650976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290384640).

201650976 is an abundant number, since it is smaller than the sum of its proper divisors (379118304).

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

201650976 is a wasteful number, since it uses less digits than its factorization.

201650976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8958 (or 8947 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 201650976 is about 14200.3864736140. The cubic root of 201650976 is about 586.4083010637.

It can be divided in two parts, 2016 and 50976, that multiplied together give a triangular number (102767616 = T14336).

The spelling of 201650976 in words is "two hundred one million, six hundred fifty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 79 96 144 158 237 288 316 474 632 711 948 1264 1422 1896 2528 2844 3792 5688 7584 8863 11376 17726 22752 26589 35452 53178 70904 79767 106356 141808 159534 212712 283616 319068 425424 638136 700177 850848 1276272 1400354 2100531 2552544 2800708 4201062 5601416 6301593 8402124 11202832 12603186 16804248 22405664 25206372 33608496 50412744 67216992 100825488 201650976