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102044460 = 22357261569
BaseRepresentation
bin1100001010100…
…01001100101100
321010000101200110
412011101030230
5202110410320
614043100020
72346235500
oct605211454
9233011613
10102044460
1152668571
122a211610
13181ab24b
14d7a4300
158e5a5e0
hex615132c

102044460 has 144 divisors (see below), whose sum is σ = 338415840. Its totient is φ = 22901760.

The previous prime is 102044429. The next prime is 102044539. The reversal of 102044460 is 64440201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 179056 + ... + 179624.

It is an arithmetic number, because the mean of its divisors is an integer number (2350110).

Almost surely, 2102044460 is an apocalyptic number.

102044460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102044460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169207920).

102044460 is an abundant number, since it is smaller than the sum of its proper divisors (236371380).

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

102044460 is a wasteful number, since it uses less digits than its factorization.

102044460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 102044460 is about 10101.7057965474. The cubic root of 102044460 is about 467.3007491624.

Adding to 102044460 its reverse (64440201), we get a palindrome (166484661).

The spelling of 102044460 in words is "one hundred two million, forty-four thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 61 70 84 98 105 122 140 147 183 196 210 244 245 294 305 366 420 427 490 569 588 610 732 735 854 915 980 1138 1220 1281 1470 1707 1708 1830 2135 2276 2562 2845 2940 2989 3414 3660 3983 4270 5124 5690 5978 6405 6828 7966 8535 8540 8967 11380 11949 11956 12810 14945 15932 17070 17934 19915 23898 25620 27881 29890 34140 34709 35868 39830 44835 47796 55762 59745 59780 69418 79660 83643 89670 104127 111524 119490 138836 139405 167286 173545 179340 208254 238980 242963 278810 334572 347090 416508 418215 485926 520635 557620 694180 728889 836430 971852 1041270 1214815 1457778 1672860 1700741 2082540 2429630 2915556 3401482 3644445 4859260 5102223 6802964 7288890 8503705 10204446 14577780 17007410 20408892 25511115 34014820 51022230 102044460