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13748070 = 2357173851
BaseRepresentation
bin110100011100…
…011101100110
3221212110210210
4310130131212
512004414240
61210400250
7224566560
oct64343546
927773723
1013748070
117840146
124730086
132b0486b
141b7c330
151318780
hexd1c766

13748070 has 64 divisors (see below), whose sum is σ = 39937536. Its totient is φ = 2956800.

The previous prime is 13748069. The next prime is 13748071. The reversal of 13748070 is 7084731.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13748069) and next prime (13748071).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13748071) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1645 + ... + 5495.

It is an arithmetic number, because the mean of its divisors is an integer number (624024).

Almost surely, 213748070 is an apocalyptic number.

13748070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13748070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19968768).

13748070 is an abundant number, since it is smaller than the sum of its proper divisors (26189466).

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

13748070 is a wasteful number, since it uses less digits than its factorization.

13748070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3885.

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 13748070 is about 3707.8389932682. The cubic root of 13748070 is about 239.5597833101.

It can be divided in two parts, 137480 and 70, that added together give a triangular number (137550 = T524).

The spelling of 13748070 in words is "thirteen million, seven hundred forty-eight thousand, seventy".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 51 70 85 102 105 119 170 210 238 255 357 510 595 714 1190 1785 3570 3851 7702 11553 19255 23106 26957 38510 53914 57765 65467 80871 115530 130934 134785 161742 196401 269570 327335 392802 404355 458269 654670 808710 916538 982005 1374807 1964010 2291345 2749614 4582690 6874035 13748070