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13995000 = 233254311
BaseRepresentation
bin110101011000…
…101111111000
3222100000112100
4311120233320
512040320000
61215543400
7226645515
oct65305770
928300470
1013995000
117999718
12482ab60
132b90086
141c0430c
151366a00
hexd58bf8

13995000 has 120 divisors (see below), whose sum is σ = 47516040. Its totient is φ = 3720000.

The previous prime is 13994987. The next prime is 13995013. The reversal of 13995000 is 59931.

It is an interprime number because it is at equal distance from previous prime (13994987) and next prime (13995013).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

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, 44845 + ... + 45155.

It is an arithmetic number, because the mean of its divisors is an integer number (395967).

Almost surely, 213995000 is an apocalyptic number.

13995000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13995000 is the 2000-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13995000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23758020).

13995000 is an abundant number, since it is smaller than the sum of its proper divisors (33521040).

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

13995000 is a wasteful number, since it uses less digits than its factorization.

13995000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 1215, while the sum is 27.

The square root of 13995000 is about 3740.9891740020. The cubic root of 13995000 is about 240.9855308313.

The spelling of 13995000 in words is "thirteen million, nine hundred ninety-five thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 311 360 375 450 500 600 622 625 750 900 933 1000 1125 1244 1250 1500 1555 1800 1866 1875 2250 2488 2500 2799 3000 3110 3732 3750 4500 4665 5000 5598 5625 6220 7464 7500 7775 9000 9330 11196 11250 12440 13995 15000 15550 18660 22392 22500 23325 27990 31100 37320 38875 45000 46650 55980 62200 69975 77750 93300 111960 116625 139950 155500 186600 194375 233250 279900 311000 349875 388750 466500 559800 583125 699750 777500 933000 1166250 1399500 1555000 1749375 2332500 2799000 3498750 4665000 6997500 13995000