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13916070 = 2335737199
BaseRepresentation
bin110101000101…
…011110100110
3222012000021000
4311011132212
512030303240
61214134130
7226166430
oct65053646
928160230
1013916070
117945393
1247b1346
132b6317c
141bc3650
15134d430
hexd457a6

13916070 has 128 divisors (see below), whose sum is σ = 43776000. Its totient is φ = 3079296.

The previous prime is 13916059. The next prime is 13916093. The reversal of 13916070 is 7061931.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 69831 + ... + 70029.

It is an arithmetic number, because the mean of its divisors is an integer number (342000).

Almost surely, 213916070 is an apocalyptic number.

13916070 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 13916070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21888000).

13916070 is an abundant number, since it is smaller than the sum of its proper divisors (29859930).

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

13916070 is a wasteful number, since it uses less digits than its factorization.

13916070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 13916070 is about 3730.4249087738. The cubic root of 13916070 is about 240.5316339859.

The spelling of 13916070 in words is "thirteen million, nine hundred sixteen thousand, seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 37 42 45 54 63 70 74 90 105 111 126 135 185 189 199 210 222 259 270 315 333 370 378 398 518 555 597 630 666 777 945 995 999 1110 1194 1295 1393 1554 1665 1791 1890 1990 1998 2331 2590 2786 2985 3330 3582 3885 4179 4662 4995 5373 5970 6965 6993 7363 7770 8358 8955 9990 10746 11655 12537 13930 13986 14726 17910 20895 22089 23310 25074 26865 34965 36815 37611 41790 44178 51541 53730 62685 66267 69930 73630 75222 103082 110445 125370 132534 154623 188055 198801 220890 257705 309246 331335 376110 397602 463869 515410 662670 773115 927738 994005 1391607 1546230 1988010 2319345 2783214 4638690 6958035 13916070