Search a number
-
+
14309190 = 2335767113
BaseRepresentation
bin110110100101…
…011101000110
3222220222112000
4312211131012
512130343230
61230410130
7232424520
oct66453506
928828460
1014309190
118093785
124960946
132c7009c
141c86a10
1513c9b60
hexda5746

14309190 has 128 divisors (see below), whose sum is σ = 44651520. Its totient is φ = 3193344.

The previous prime is 14309179. The next prime is 14309201. The reversal of 14309190 is 9190341.

It is an interprime number because it is at equal distance from previous prime (14309179) and next prime (14309201).

It is a super-2 number, since 2×143091902 = 409505836912200, which contains 22 as substring.

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, 126574 + ... + 126686.

It is an arithmetic number, because the mean of its divisors is an integer number (348840).

Almost surely, 214309190 is an apocalyptic number.

14309190 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 14309190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22325760).

14309190 is an abundant number, since it is smaller than the sum of its proper divisors (30342330).

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

14309190 is a wasteful number, since it uses less digits than its factorization.

14309190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 14309190 is about 3782.7490003964. The cubic root of 14309190 is about 242.7755891926.

The spelling of 14309190 in words is "fourteen million, three hundred nine thousand, one hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 67 70 90 105 113 126 134 135 189 201 210 226 270 315 335 339 378 402 469 565 603 630 670 678 791 938 945 1005 1017 1130 1206 1407 1582 1695 1809 1890 2010 2034 2345 2373 2814 3015 3051 3390 3618 3955 4221 4690 4746 5085 6030 6102 7035 7119 7571 7910 8442 9045 10170 11865 12663 14070 14238 15142 15255 18090 21105 21357 22713 23730 25326 30510 35595 37855 42210 42714 45426 52997 63315 68139 71190 75710 105994 106785 113565 126630 136278 158991 204417 213570 227130 264985 317982 340695 408834 476973 529970 681390 794955 953946 1022085 1430919 1589910 2044170 2384865 2861838 4769730 7154595 14309190