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210856152 = 233131374933
BaseRepresentation
bin11001001000101…
…10100011011000
3112200202121021010
430210112203120
5412434344102
632531213520
75140150653
oct1444264330
9480677233
10210856152
11a9028391
125a7472a0
13348b8770
142000a89a
15137a0d6c
hexc9168d8

210856152 has 64 divisors (see below), whose sum is σ = 571949280. Its totient is φ = 64392192.

The previous prime is 210856127. The next prime is 210856171. The reversal of 210856152 is 251658012.

210856152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40278 + ... + 45210.

Almost surely, 2210856152 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 210856152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285974640).

210856152 is an abundant number, since it is smaller than the sum of its proper divisors (361093128).

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

210856152 is a wasteful number, since it uses less digits than its factorization.

210856152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5092 (or 5088 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 210856152 is about 14520.8867497822. The cubic root of 210856152 is about 595.1988620411.

The spelling of 210856152 in words is "two hundred ten million, eight hundred fifty-six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 137 156 274 312 411 548 822 1096 1644 1781 3288 3562 4933 5343 7124 9866 10686 14248 14799 19732 21372 29598 39464 42744 59196 64129 118392 128258 192387 256516 384774 513032 675821 769548 1351642 1539096 2027463 2703284 4054926 5406568 8109852 8785673 16219704 17571346 26357019 35142692 52714038 70285384 105428076 210856152