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104036310 = 23257231761
BaseRepresentation
bin1100011001101…
…11011111010110
321020202120222200
412030313133112
5203113130220
614153505330
72402202600
oct614673726
9236676880
10104036310
11537a9024
122aa12246
1318727a61
14db62170
159200890
hex63377d6

104036310 has 144 divisors (see below), whose sum is σ = 325233792. Its totient is φ = 22982400.

The previous prime is 104036287. The next prime is 104036323. The reversal of 104036310 is 13630401.

It is a super-2 number, since 2×1040363102 = 21647107596832200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 136330 + ... + 137090.

It is an arithmetic number, because the mean of its divisors is an integer number (2258568).

Almost surely, 2104036310 is an apocalyptic number.

104036310 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 104036310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162616896).

104036310 is an abundant number, since it is smaller than the sum of its proper divisors (221197482).

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

104036310 is a wasteful number, since it uses less digits than its factorization.

104036310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 104036310 is about 10199.8191160432. The cubic root of 104036310 is about 470.3216599983.

Adding to 104036310 its reverse (13630401), we get a palindrome (117666711).

The spelling of 104036310 in words is "one hundred four million, thirty-six thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 31 35 42 45 49 62 63 70 90 93 98 105 126 147 155 186 210 217 245 279 294 310 315 434 441 465 490 558 630 651 735 761 882 930 1085 1302 1395 1470 1519 1522 1953 2170 2205 2283 2790 3038 3255 3805 3906 4410 4557 4566 5327 6510 6849 7595 7610 9114 9765 10654 11415 13671 13698 15190 15981 19530 22785 22830 23591 26635 27342 31962 34245 37289 45570 47182 47943 53270 68355 68490 70773 74578 79905 95886 111867 117955 136710 141546 159810 165137 186445 212319 223734 235910 239715 330274 335601 353865 372890 424638 479430 495411 559335 671202 707730 825685 990822 1061595 1118670 1155959 1486233 1651370 1678005 2123190 2311918 2477055 2972466 3356010 3467877 4954110 5779795 6935754 7431165 10403631 11559590 14862330 17339385 20807262 34678770 52018155 104036310