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210107296 = 2572472851
BaseRepresentation
bin11001000010111…
…11101110100000
3112122100120000201
430201133232200
5412241413141
632503154544
75130611500
oct1441375640
9478316021
10210107296
11a86667a3
125a445a54
13346b5959
141dc93a00
15136a4031
hexc85fba0

210107296 has 72 divisors (see below), whose sum is σ = 491593536. Its totient is φ = 88099200.

The previous prime is 210107239. The next prime is 210107311. The reversal of 210107296 is 692701012.

It is a happy number.

210107296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an alternating number because its digits alternate between even and odd.

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, 72271 + ... + 75121.

It is an arithmetic number, because the mean of its divisors is an integer number (6827688).

Almost surely, 2210107296 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 210107296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245796768).

210107296 is an abundant number, since it is smaller than the sum of its proper divisors (281486240).

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

210107296 is a wasteful number, since it uses less digits than its factorization.

210107296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2922 (or 2907 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 210107296 is about 14495.0783371460. The cubic root of 210107296 is about 594.4934096356.

The spelling of 210107296 in words is "two hundred ten million, one hundred seven thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 47 49 56 94 98 112 188 196 224 329 376 392 658 752 784 1316 1504 1568 2303 2632 2851 4606 5264 5702 9212 10528 11404 18424 19957 22808 36848 39914 45616 73696 79828 91232 133997 139699 159656 267994 279398 319312 535988 558796 638624 937979 1071976 1117592 1875958 2143952 2235184 3751916 4287904 4470368 6565853 7503832 13131706 15007664 26263412 30015328 52526824 105053648 210107296