Search a number
-
+
101102460 = 223543149263
BaseRepresentation
bin1100000011010…
…11001101111100
321001020112111120
412001223031330
5201340234320
614010550540
72335233234
oct601531574
9231215446
10101102460
1152084858
1229a38450
1317c3b554
14d5dacc4
158d21440
hex606b37c

101102460 has 96 divisors (see below), whose sum is σ = 292723200. Its totient is φ = 26057472.

The previous prime is 101102453. The next prime is 101102461. The reversal of 101102460 is 64201101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101102461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 384289 + ... + 384551.

It is an arithmetic number, because the mean of its divisors is an integer number (3049200).

Almost surely, 2101102460 is an apocalyptic number.

101102460 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 101102460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146361600).

101102460 is an abundant number, since it is smaller than the sum of its proper divisors (191620740).

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

101102460 is a wasteful number, since it uses less digits than its factorization.

101102460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 101102460 is about 10054.9719044859. The cubic root of 101102460 is about 465.8583751809.

Adding to 101102460 its reverse (64201101), we get a palindrome (165303561).

The spelling of 101102460 in words is "one hundred one million, one hundred two thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 149 172 215 258 263 298 430 447 516 526 596 645 745 789 860 894 1052 1290 1315 1490 1578 1788 2235 2580 2630 2980 3156 3945 4470 5260 6407 7890 8940 11309 12814 15780 19221 22618 25628 32035 33927 38442 39187 45236 56545 64070 67854 76884 78374 96105 113090 117561 128140 135708 156748 169635 192210 195935 226180 235122 339270 384420 391870 470244 587805 678540 783740 1175610 1685041 2351220 3370082 5055123 6740164 8425205 10110246 16850410 20220492 25275615 33700820 50551230 101102460