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15998000 = 245319421
BaseRepresentation
bin111101000001…
…110000110000
31010002210010112
4331001300300
513043414000
61330520452
7252660254
oct75016060
933083115
1015998000
119037597
125436128
133411995
1421a6264
151610235
hexf41c30

15998000 has 80 divisors (see below), whose sum is σ = 40815840. Its totient is φ = 6048000.

The previous prime is 15997999. The next prime is 15998009. The reversal of 15998000 is 89951.

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

It is not an unprimeable number, because it can be changed into a prime (15998009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37790 + ... + 38210.

It is an arithmetic number, because the mean of its divisors is an integer number (510198).

Almost surely, 215998000 is an apocalyptic number.

15998000 is a gapful number since it is divisible by the number (10) 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 15998000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20407920).

15998000 is an abundant number, since it is smaller than the sum of its proper divisors (24817840).

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

15998000 is a wasteful number, since it uses less digits than its factorization.

15998000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 32.

The square root of 15998000 is about 3999.7499921870. The cubic root of 15998000 is about 251.9737101994.

The spelling of 15998000 in words is "fifteen million, nine hundred ninety-eight thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 304 380 400 421 475 500 760 842 950 1000 1520 1684 1900 2000 2105 2375 3368 3800 4210 4750 6736 7600 7999 8420 9500 10525 15998 16840 19000 21050 31996 33680 38000 39995 42100 52625 63992 79990 84200 105250 127984 159980 168400 199975 210500 319960 399950 421000 639920 799900 842000 999875 1599800 1999750 3199600 3999500 7999000 15998000