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99964000 = 255367373
BaseRepresentation
bin1011111010101…
…01010001100000
320222002200211101
411331111101200
5201042322000
613530324144
72322452143
oct575252140
9228080741
1099964000
1151477484
1229589654
13179302c6
14d3c205a
158b98e6a
hex5f55460

99964000 has 96 divisors (see below), whose sum is σ = 249945696. Its totient is φ = 39283200.

The previous prime is 99963979. The next prime is 99964019. The reversal of 99964000 is 46999.

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

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, 267814 + ... + 268186.

It is an arithmetic number, because the mean of its divisors is an integer number (2603601).

Almost surely, 299964000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99964000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124972848).

99964000 is an abundant number, since it is smaller than the sum of its proper divisors (149981696).

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

99964000 is a wasteful number, since it uses less digits than its factorization.

99964000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 37.

The square root of 99964000 is about 9998.1998379708. The cubic root of 99964000 is about 464.1031776100.

The spelling of 99964000 in words is "ninety-nine million, nine hundred sixty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 67 80 100 125 134 160 200 250 268 335 373 400 500 536 670 746 800 1000 1072 1340 1492 1675 1865 2000 2144 2680 2984 3350 3730 4000 5360 5968 6700 7460 8375 9325 10720 11936 13400 14920 16750 18650 24991 26800 29840 33500 37300 46625 49982 53600 59680 67000 74600 93250 99964 124955 134000 149200 186500 199928 249910 268000 298400 373000 399856 499820 624775 746000 799712 999640 1249550 1492000 1999280 2499100 3123875 3998560 4998200 6247750 9996400 12495500 19992800 24991000 49982000 99964000