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102036060 = 223257471723
BaseRepresentation
bin1100001010011…
…11001001011100
321002222222011100
412011033021130
5202110123220
614042553100
72346202140
oct605171134
9232888140
10102036060
1152662225
122a208790
13181a7489
14d7a1220
158e57d90
hex614f25c

102036060 has 144 divisors (see below), whose sum is σ = 361460736. Its totient is φ = 22813056.

The previous prime is 102036049. The next prime is 102036071. The reversal of 102036060 is 60630201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102036049) and next prime (102036071).

It is a super-2 number, since 2×1020360602 = 20822715080647200, which contains 22 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 58359 + ... + 60081.

It is an arithmetic number, because the mean of its divisors is an integer number (2510144).

Almost surely, 2102036060 is an apocalyptic number.

102036060 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 102036060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180730368).

102036060 is an abundant number, since it is smaller than the sum of its proper divisors (259424676).

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

102036060 is a wasteful number, since it uses less digits than its factorization.

102036060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792 (or 1787 counting only the distinct ones).

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

The square root of 102036060 is about 10101.2900166266. The cubic root of 102036060 is about 467.2879265359.

Adding to 102036060 its reverse (60630201), we get a palindrome (162666261).

The spelling of 102036060 in words is "one hundred two million, thirty-six thousand, sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 47 60 63 70 84 90 94 105 126 140 141 180 188 210 235 252 282 315 329 420 423 470 564 630 658 705 846 940 987 1260 1316 1410 1645 1692 1723 1974 2115 2820 2961 3290 3446 3948 4230 4935 5169 5922 6580 6892 8460 8615 9870 10338 11844 12061 14805 15507 17230 19740 20676 24122 25845 29610 31014 34460 36183 48244 51690 59220 60305 62028 72366 77535 80981 103380 108549 120610 144732 155070 161962 180915 217098 241220 242943 310140 323924 361830 404905 434196 485886 542745 566867 723660 728829 809810 971772 1085490 1133734 1214715 1457658 1619620 1700601 2170980 2267468 2429430 2834335 2915316 3401202 3644145 4858860 5101803 5668670 6802404 7288290 8503005 10203606 11337340 14576580 17006010 20407212 25509015 34012020 51018030 102036060