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69948 = 22322967
BaseRepresentation
bin10001000100111100
310112221200
4101010330
54214243
61255500
7410634
oct210474
9115850
1069948
114860a
1234590
1325ab8
141b6c4
1515ad3
hex1113c

69948 has 36 divisors (see below), whose sum is σ = 185640. Its totient is φ = 22176.

The previous prime is 69941. The next prime is 69959. The reversal of 69948 is 84996.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a plaindrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 69948.

It is not an unprimeable number, because it can be changed into a prime (69941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1011 + ... + 1077.

269948 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 69948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92820).

69948 is an abundant number, since it is smaller than the sum of its proper divisors (115692).

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

69948 is a wasteful number, since it uses less digits than its factorization.

69948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 101 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 69948 is about 264.4768420864. The cubic root of 69948 is about 41.2026453827.

It can be divided in two parts, 699 and 48, that added together give a palindrome (747).

The spelling of 69948 in words is "sixty-nine thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 67 87 116 134 174 201 261 268 348 402 522 603 804 1044 1206 1943 2412 3886 5829 7772 11658 17487 23316 34974 69948