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13758030 = 232511131069
BaseRepresentation
bin110100011110…
…111001001110
3221212222110200
4310132321032
512010224110
61210514330
7224640606
oct64367116
927788420
1013758030
117847680
1247359a6
132b09260
141b81c06
15131b6c0
hexd1ee4e

13758030 has 96 divisors (see below), whose sum is σ = 42063840. Its totient is φ = 3075840.

The previous prime is 13758029. The next prime is 13758077. The reversal of 13758030 is 3085731.

It is a junction number, because it is equal to n+sod(n) for n = 13757985 and 13758003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12336 + ... + 13404.

It is an arithmetic number, because the mean of its divisors is an integer number (438165).

Almost surely, 213758030 is an apocalyptic number.

13758030 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 13758030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21031920).

13758030 is an abundant number, since it is smaller than the sum of its proper divisors (28305810).

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

13758030 is a wasteful number, since it uses less digits than its factorization.

13758030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 13758030 is about 3709.1818504894. The cubic root of 13758030 is about 239.6176202641.

The spelling of 13758030 in words is "thirteen million, seven hundred fifty-eight thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 13 15 18 22 26 30 33 39 45 55 65 66 78 90 99 110 117 130 143 165 195 198 234 286 330 390 429 495 585 715 858 990 1069 1170 1287 1430 2138 2145 2574 3207 4290 5345 6414 6435 9621 10690 11759 12870 13897 16035 19242 23518 27794 32070 35277 41691 48105 58795 69485 70554 83382 96210 105831 117590 125073 138970 152867 176385 208455 211662 250146 305734 352770 416910 458601 529155 625365 764335 917202 1058310 1250730 1375803 1528670 2293005 2751606 4586010 6879015 13758030