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69946080 = 2535145721
BaseRepresentation
bin1000010101101…
…00101011100000
311212121121222120
410022310223200
5120401233310
610535104240
71506350301
oct412645340
9155547876
1069946080
1136534586
121b512080
1311650119
14940a7a8
156219b70
hex42b4ae0

69946080 has 48 divisors (see below), whose sum is σ = 220331664. Its totient is φ = 18652160.

The previous prime is 69946073. The next prime is 69946081. The reversal of 69946080 is 8064996.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69946081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72381 + ... + 73340.

It is an arithmetic number, because the mean of its divisors is an integer number (4590243).

Almost surely, 269946080 is an apocalyptic number.

69946080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

69946080 is an abundant number, since it is smaller than the sum of its proper divisors (150385584).

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

69946080 is a wasteful number, since it uses less digits than its factorization.

69946080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145739 (or 145731 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 69946080 is about 8363.3773082410. The cubic root of 69946080 is about 412.0226838926.

The spelling of 69946080 in words is "sixty-nine million, nine hundred forty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 145721 291442 437163 582884 728605 874326 1165768 1457210 1748652 2185815 2331536 2914420 3497304 4371630 4663072 5828840 6994608 8743260 11657680 13989216 17486520 23315360 34973040 69946080