Search a number
-
+
70756 = 2272192
BaseRepresentation
bin10001010001100100
310121001121
4101101210
54231011
61303324
7413200
oct212144
9117047
1070756
1149184
1234b44
132628a
141bb00
1515e71
hex11464

70756 has 27 divisors (see below), whose sum is σ = 152019. Its totient is φ = 28728.

The previous prime is 70753. The next prime is 70769. The reversal of 70756 is 65707.

70756 = T265 + T266.

The square root of 70756 is 266.

It is a perfect power (a square), and thus also a powerful number.

It is a self number, because there is not a number n which added to its sum of digits gives 70756.

It is not an unprimeable number, because it can be changed into a prime (70753) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3715 + ... + 3733.

270756 is an apocalyptic number.

70756 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

70756 is the 266-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70756

70756 is an abundant number, since it is smaller than the sum of its proper divisors (81263).

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

70756 is a wasteful number, since it uses less digits than its factorization.

70756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 25.

The cubic root of 70756 is about 41.3606883321.

Multiplying 70756 by its sum of digits (25), we get a square (1768900 = 13302).

The spelling of 70756 in words is "seventy thousand, seven hundred fifty-six".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 196 266 361 532 722 931 1444 1862 2527 3724 5054 10108 17689 35378 70756