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70152 = 2333779
BaseRepresentation
bin10001001000001000
310120020020
4101020020
54221102
61300440
7411345
oct211010
9116206
1070152
1148785
1234720
1325c14
141b7cc
1515bbc
hex11208

70152 has 32 divisors (see below), whose sum is σ = 182400. Its totient is φ = 22464.

The previous prime is 70141. The next prime is 70157. The reversal of 70152 is 25107.

It is a happy number.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (70157) by changing a digit.

70152 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 849 + ... + 927.

It is an arithmetic number, because the mean of its divisors is an integer number (5700).

270152 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 70152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91200).

70152 is an abundant number, since it is smaller than the sum of its proper divisors (112248).

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

70152 is a wasteful number, since it uses less digits than its factorization.

70152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 70152 is about 264.8622283377. The cubic root of 70152 is about 41.2426616882.

Adding to 70152 its reverse (25107), we get a palindrome (95259).

It can be divided in two parts, 70 and 152, that added together give a palindrome (222).

The spelling of 70152 in words is "seventy thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 37 74 79 111 148 158 222 237 296 316 444 474 632 888 948 1896 2923 5846 8769 11692 17538 23384 35076 70152