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69930 = 2335737
BaseRepresentation
bin10001000100101010
310112221000
4101010222
54214210
61255430
7410610
oct210452
9115830
1069930
11485a3
1234576
1325aa3
141b6b0
1515ac0
hex1112a

69930 has 64 divisors (see below), whose sum is σ = 218880. Its totient is φ = 15552.

The previous prime is 69929. The next prime is 69931. The reversal of 69930 is 3996.

It is an interprime number because it is at equal distance from previous prime (69929) and next prime (69931).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a Curzon number.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 69894 and 69903.

It is not an unprimeable number, because it can be changed into a prime (69931) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1872 + ... + 1908.

It is an arithmetic number, because the mean of its divisors is an integer number (3420).

269930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109440).

69930 is an abundant number, since it is smaller than the sum of its proper divisors (148950).

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

69930 is a wasteful number, since it uses less digits than its factorization.

69930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 69930 is about 264.4428104525. The cubic root of 69930 is about 41.1991107987.

It can be divided in two parts, 699 and 30, that added together give a 6-th power (729 = 36).

The spelling of 69930 in words is "sixty-nine thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 37 42 45 54 63 70 74 90 105 111 126 135 185 189 210 222 259 270 315 333 370 378 518 555 630 666 777 945 999 1110 1295 1554 1665 1890 1998 2331 2590 3330 3885 4662 4995 6993 7770 9990 11655 13986 23310 34965 69930