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102720420 = 223351117293
BaseRepresentation
bin1100001111101…
…10001110100100
321011021201221000
412013312032210
5202244023140
614105353300
72355052305
oct607661644
9234251830
10102720420
1152a8a410
122a498830
1318386b1a
14d8dc7ac
159040a30
hex61f63a4

102720420 has 96 divisors (see below), whose sum is σ = 348647040. Its totient is φ = 24900480.

The previous prime is 102720383. The next prime is 102720439. The reversal of 102720420 is 24027201.

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

It is a junction number, because it is equal to n+sod(n) for n = 102720393 and 102720402.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2707 + ... + 14586.

It is an arithmetic number, because the mean of its divisors is an integer number (3631740).

Almost surely, 2102720420 is an apocalyptic number.

102720420 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 102720420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174323520).

102720420 is an abundant number, since it is smaller than the sum of its proper divisors (245926620).

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

102720420 is a wasteful number, since it uses less digits than its factorization.

102720420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17322 (or 17314 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 102720420 is about 10135.1082875320. The cubic root of 102720420 is about 468.3303059402.

Adding to 102720420 its reverse (24027201), we get a palindrome (126747621).

The spelling of 102720420 in words is "one hundred two million, seven hundred twenty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 17293 34586 51879 69172 86465 103758 155637 172930 190223 207516 259395 311274 345860 380446 466911 518790 570669 622548 760892 778185 933822 951115 1037580 1141338 1556370 1712007 1867644 1902230 2282676 2334555 2853345 3112740 3424014 3804460 4669110 5136021 5706690 6848028 8560035 9338220 10272042 11413380 17120070 20544084 25680105 34240140 51360210 102720420