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102420780 = 223572113167
BaseRepresentation
bin1100001101011…
…01000100101100
321010201111220020
412012231010230
5202204431110
614055122140
72352363600
oct606550454
9233644806
10102420780
11528a5280
122a373350
13182b0617
14d861500
158ed1d70
hex61ad12c

102420780 has 144 divisors (see below), whose sum is σ = 364041216. Its totient is φ = 21275520.

The previous prime is 102420763. The next prime is 102420781. The reversal of 102420780 is 87024201.

It is a self number, because there is not a number n which added to its sum of digits gives 102420780.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102420781) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30757 + ... + 33923.

It is an arithmetic number, because the mean of its divisors is an integer number (2528064).

Almost surely, 2102420780 is an apocalyptic number.

102420780 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 102420780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182020608).

102420780 is an abundant number, since it is smaller than the sum of its proper divisors (261620436).

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

102420780 is a wasteful number, since it uses less digits than its factorization.

102420780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3204 (or 3195 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 102420780 is about 10120.3152124823. The cubic root of 102420780 is about 467.8744823739.

Adding to 102420780 its reverse (87024201), we get a palindrome (189444981).

The spelling of 102420780 in words is "one hundred two million, four hundred twenty thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 49 55 60 66 70 77 84 98 105 110 132 140 147 154 165 196 210 220 231 245 294 308 330 385 420 462 490 539 588 660 735 770 924 980 1078 1155 1470 1540 1617 2156 2310 2695 2940 3167 3234 4620 5390 6334 6468 8085 9501 10780 12668 15835 16170 19002 22169 31670 32340 34837 38004 44338 47505 63340 66507 69674 88676 95010 104511 110845 133014 139348 155183 174185 190020 209022 221690 243859 266028 310366 332535 348370 418044 443380 465549 487718 522555 620732 665070 696740 731577 775915 931098 975436 1045110 1219295 1330140 1463154 1551830 1707013 1862196 2090220 2327745 2438590 2926308 3103660 3414026 3657885 4655490 4877180 5121039 6828052 7315770 8535065 9310980 10242078 14631540 17070130 20484156 25605195 34140260 51210390 102420780