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64369920 = 283516763
BaseRepresentation
bin1111010110001…
…1010100000000
311111010022221010
43311203110000
5112434314140
610215400520
71411064256
oct365432400
9144108833
1064369920
113337608a
1219683140
131044a014
1487985d6
1559b7880
hex3d63500

64369920 has 72 divisors (see below), whose sum is σ = 205593696. Its totient is φ = 17164288.

The previous prime is 64369889. The next prime is 64369951. The reversal of 64369920 is 2996346.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (64369889) and next prime (64369951).

It is a congruent number.

It is an unprimeable number.

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, 4542 + ... + 12221.

It is an arithmetic number, because the mean of its divisors is an integer number (2855468).

Almost surely, 264369920 is an apocalyptic number.

64369920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

64369920 is an abundant number, since it is smaller than the sum of its proper divisors (141223776).

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

64369920 is a wasteful number, since it uses less digits than its factorization.

64369920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16787 (or 16773 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 64369920 is about 8023.0866878029. The cubic root of 64369920 is about 400.7691865985.

The spelling of 64369920 in words is "sixty-four million, three hundred sixty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 16763 33526 50289 67052 83815 100578 134104 167630 201156 251445 268208 335260 402312 502890 536416 670520 804624 1005780 1072832 1341040 1609248 2011560 2145664 2682080 3218496 4023120 4291328 5364160 6436992 8046240 10728320 12873984 16092480 21456640 32184960 64369920