Search a number
-
+
69883740 = 223252231741
BaseRepresentation
bin1000010101001…
…01011101011100
311212111110110200
410022211131130
5120342234430
610533503500
71506000453
oct412453534
9155443420
1069883740
11364a1763
121b4a1b90
131162a934
1493d1b9a
156206460
hex42a575c

69883740 has 72 divisors (see below), whose sum is σ = 213053568. Its totient is φ = 18541440.

The previous prime is 69883739. The next prime is 69883741. The reversal of 69883740 is 4738896.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (69883739) and next prime (69883741).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69883741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39270 + ... + 41010.

Almost surely, 269883740 is an apocalyptic number.

69883740 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69883740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106526784).

69883740 is an abundant number, since it is smaller than the sum of its proper divisors (143169828).

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

69883740 is a wasteful number, since it uses less digits than its factorization.

69883740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1979 (or 1974 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 69883740 is about 8359.6495141842. The cubic root of 69883740 is about 411.9002413450.

The spelling of 69883740 in words is "sixty-nine million, eight hundred eighty-three thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 223 446 669 892 1115 1338 1741 2007 2230 2676 3345 3482 4014 4460 5223 6690 6964 8028 8705 10035 10446 13380 15669 17410 20070 20892 26115 31338 34820 40140 52230 62676 78345 104460 156690 313380 388243 776486 1164729 1552972 1941215 2329458 3494187 3882430 4658916 5823645 6988374 7764860 11647290 13976748 17470935 23294580 34941870 69883740