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70288 = 2423191
BaseRepresentation
bin10001001010010000
310120102021
4101022100
54222123
61301224
7411631
oct211220
9116367
1070288
1148899
1234814
1325cba
141b888
1515c5d
hex11290

70288 has 20 divisors (see below), whose sum is σ = 142848. Its totient is φ = 33440.

The previous prime is 70271. The next prime is 70289. The reversal of 70288 is 88207.

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (70289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 273 + ... + 463.

270288 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 70288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71424).

70288 is an abundant number, since it is smaller than the sum of its proper divisors (72560).

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

70288 is a wasteful number, since it uses less digits than its factorization.

70288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 70288 is about 265.1188412769. The cubic root of 70288 is about 41.2692961451.

It can be divided in two parts, 702 and 88, that multiplied together give a triangular number (61776 = T351).

The spelling of 70288 in words is "seventy thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 23 46 92 184 191 368 382 764 1528 3056 4393 8786 17572 35144 70288