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69942000 = 2435311657
BaseRepresentation
bin1000010101100…
…11101011110000
311212121102101110
410022303223300
5120401121000
610535033320
71506332352
oct412635360
9155542343
1069942000
1136531507
121b50b840
131164b2cb
1494090d2
156218850
hex42b3af0

69942000 has 80 divisors (see below), whose sum is σ = 225512352. Its totient is φ = 18649600.

The previous prime is 69941999. The next prime is 69942001. The reversal of 69942000 is 24996.

It is an interprime number because it is at equal distance from previous prime (69941999) and next prime (69942001).

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (30) 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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69942001) 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 15 ways as a sum of consecutive naturals, for example, 172 + ... + 11828.

Almost surely, 269942000 is an apocalyptic number.

69942000 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 69942000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112756176).

69942000 is an abundant number, since it is smaller than the sum of its proper divisors (155570352).

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

69942000 is a wasteful number, since it uses less digits than its factorization.

69942000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11683 (or 11667 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 69942000 is about 8363.1333840852. The cubic root of 69942000 is about 412.0146725538.

Adding to 69942000 its reverse (24996), we get a palindrome (69966996).

The spelling of 69942000 in words is "sixty-nine million, nine hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 11657 23314 34971 46628 58285 69942 93256 116570 139884 174855 186512 233140 279768 291425 349710 466280 559536 582850 699420 874275 932560 1165700 1398840 1457125 1748550 2331400 2797680 2914250 3497100 4371375 4662800 5828500 6994200 8742750 11657000 13988400 17485500 23314000 34971000 69942000