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960030000 = 24325410667
BaseRepresentation
bin111001001110001…
…110010100110000
32110220110120120200
4321032032110300
53431231430000
6235132435200
732535056166
oct7116162460
92426416520
10960030000
11452a03826
12229618b00
13123b841b7
1491705236
1559438500
hex3938e530

960030000 has 150 divisors (see below), whose sum is σ = 3357678324. Its totient is φ = 255984000.

The previous prime is 960029981. The next prime is 960030013. The reversal of 960030000 is 30069.

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 84667 + ... + 95333.

Almost surely, 2960030000 is an apocalyptic number.

960030000 is a gapful number since it is divisible by the number (90) 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 960030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678839162).

960030000 is an abundant number, since it is smaller than the sum of its proper divisors (2397648324).

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

960030000 is a wasteful number, since it uses less digits than its factorization.

960030000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10701 (or 10677 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 960030000 is about 30984.3508887955. The cubic root of 960030000 is about 986.4951055088.

Adding to 960030000 its reverse (30069), we get a palindrome (960060069).

The spelling of 960030000 in words is "nine hundred sixty million, thirty thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1125 1200 1250 1500 1800 1875 2000 2250 2500 3000 3600 3750 4500 5000 5625 6000 7500 9000 10000 10667 11250 15000 18000 21334 22500 30000 32001 42668 45000 53335 64002 85336 90000 96003 106670 128004 160005 170672 192006 213340 256008 266675 320010 384012 426680 480015 512016 533350 640020 768024 800025 853360 960030 1066700 1280040 1333375 1536048 1600050 1920060 2133400 2400075 2560080 2666750 3200100 3840120 4000125 4266800 4800150 5333500 6400200 6666875 7680240 8000250 9600300 10667000 12000375 12800400 13333750 16000500 19200600 20000625 21334000 24000750 26667500 32001000 38401200 40001250 48001500 53335000 60001875 64002000 80002500 96003000 106670000 120003750 160005000 192006000 240007500 320010000 480015000 960030000