Search a number
-
+
162102464 = 2689149191
BaseRepresentation
bin10011010100101…
…11110011000000
3102022000122202222
421222113303000
5312444234324
624030230212
74005563636
oct1152276300
9368018688
10162102464
1183558a87
1246355368
1327778724
1417759356
15e37055e
hex9a97cc0

162102464 has 56 divisors (see below), whose sum is σ = 329184000. Its totient is φ = 79185920.

The previous prime is 162102449. The next prime is 162102487. The reversal of 162102464 is 464201261.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 848609 + ... + 848799.

Almost surely, 2162102464 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 162102464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164592000).

162102464 is an abundant number, since it is smaller than the sum of its proper divisors (167081536).

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

162102464 is a wasteful number, since it uses less digits than its factorization.

162102464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 162102464 is about 12731.9465911541. The cubic root of 162102464 is about 545.2510853828.

The spelling of 162102464 in words is "one hundred sixty-two million, one hundred two thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 89 149 178 191 298 356 382 596 712 764 1192 1424 1528 2384 2848 3056 4768 5696 6112 9536 12224 13261 16999 26522 28459 33998 53044 56918 67996 106088 113836 135992 212176 227672 271984 424352 455344 543968 848704 910688 1087936 1821376 2532851 5065702 10131404 20262808 40525616 81051232 162102464