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13370000 = 24547191
BaseRepresentation
bin110011000000…
…001010010000
3221011021012012
4303000022100
511410320000
61154322052
7221433410
oct63001220
927137165
1013370000
117602096
124589328
132a01757
141ac0640
151291735
hexcc0290

13370000 has 100 divisors (see below), whose sum is σ = 37188096. Its totient is φ = 4560000.

The previous prime is 13369999. The next prime is 13370003. The reversal of 13370000 is 7331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (13370003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 69905 + ... + 70095.

Almost surely, 213370000 is an apocalyptic number.

13370000 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 13370000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18594048).

13370000 is an abundant number, since it is smaller than the sum of its proper divisors (23818096).

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

13370000 is an equidigital number, since it uses as much as digits as its factorization.

13370000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 14.

The square root of 13370000 is about 3656.5010597564. The cubic root of 13370000 is about 237.3433870532.

Adding to 13370000 its reverse (7331), we get a palindrome (13377331).

The spelling of 13370000 in words is "thirteen million, three hundred seventy thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 191 200 250 280 350 382 400 500 560 625 700 764 875 955 1000 1250 1337 1400 1528 1750 1910 2000 2500 2674 2800 3056 3500 3820 4375 4775 5000 5348 6685 7000 7640 8750 9550 10000 10696 13370 14000 15280 17500 19100 21392 23875 26740 33425 35000 38200 47750 53480 66850 70000 76400 95500 106960 119375 133700 167125 191000 238750 267400 334250 382000 477500 534800 668500 835625 955000 1337000 1671250 1910000 2674000 3342500 6685000 13370000