Search a number
-
+
103124280 = 23357293419
BaseRepresentation
bin1100010010110…
…00110100111000
321012001020220210
412021120310320
5202344434110
614122151120
72361353610
oct611306470
9235036823
10103124280
1153235886
122a6524a0
13184988ac
14d9a5a40
1590c0520
hex6258d38

103124280 has 128 divisors (see below), whose sum is σ = 355622400. Its totient is φ = 23434752.

The previous prime is 103124279. The next prime is 103124299. The reversal of 103124280 is 82421301.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245911 + ... + 246329.

It is an arithmetic number, because the mean of its divisors is an integer number (2778300).

Almost surely, 2103124280 is an apocalyptic number.

103124280 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 103124280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177811200).

103124280 is an abundant number, since it is smaller than the sum of its proper divisors (252498120).

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

103124280 is a wasteful number, since it uses less digits than its factorization.

103124280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 103124280 is about 10155.0125553837. The cubic root of 103124280 is about 468.9432724778.

Adding to 103124280 its reverse (82421301), we get a palindrome (185545581).

The spelling of 103124280 in words is "one hundred three million, one hundred twenty-four thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 293 419 420 586 838 840 879 1172 1257 1465 1676 1758 2051 2095 2344 2514 2930 2933 3352 3516 4102 4190 4395 5028 5860 5866 6153 6285 7032 8204 8380 8790 8799 10056 10255 11720 11732 12306 12570 14665 16408 16760 17580 17598 20510 23464 24612 25140 29330 30765 35160 35196 41020 43995 49224 50280 58660 61530 70392 82040 87990 117320 122767 123060 175980 245534 246120 351960 368301 491068 613835 736602 859369 982136 1227670 1473204 1718738 1841505 2455340 2578107 2946408 3437476 3683010 4296845 4910680 5156214 6874952 7366020 8593690 10312428 12890535 14732040 17187380 20624856 25781070 34374760 51562140 103124280