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103705420 = 225713192999
BaseRepresentation
bin1100010111001…
…10101101001100
321020010210002111
412023212231030
5203022033140
614142433404
72366324110
oct613465514
9236123074
10103705420
11535a2465
122a892864
1318640270
14dab7740
1591877ea
hex62e6b4c

103705420 has 96 divisors (see below), whose sum is σ = 282240000. Its totient is φ = 31083264.

The previous prime is 103705387. The next prime is 103705451. The reversal of 103705420 is 24507301.

It is a junction number, because it is equal to n+sod(n) for n = 103705391 and 103705400.

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, 33081 + ... + 36079.

It is an arithmetic number, because the mean of its divisors is an integer number (2940000).

Almost surely, 2103705420 is an apocalyptic number.

103705420 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 103705420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141120000).

103705420 is an abundant number, since it is smaller than the sum of its proper divisors (178534580).

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

103705420 is a wasteful number, since it uses less digits than its factorization.

103705420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3047 (or 3045 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 103705420 is about 10183.5858124729. The cubic root of 103705420 is about 469.8225072966.

The spelling of 103705420 in words is "one hundred three million, seven hundred five thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 19 20 26 28 35 38 52 65 70 76 91 95 130 133 140 182 190 247 260 266 364 380 455 494 532 665 910 988 1235 1330 1729 1820 2470 2660 2999 3458 4940 5998 6916 8645 11996 14995 17290 20993 29990 34580 38987 41986 56981 59980 77974 83972 104965 113962 155948 194935 209930 227924 272909 284905 389870 398867 419860 545818 569810 740753 779740 797734 1091636 1139620 1364545 1481506 1595468 1994335 2729090 2963012 3703765 3988670 5185271 5458180 7407530 7977340 10370542 14815060 20741084 25926355 51852710 103705420