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103708920 = 23357331373
BaseRepresentation
bin1100010111001…
…11100011111000
321020010221220010
412023213203320
5203022141140
614142501520
72366340240
oct613474370
9236127803
10103708920
11535a5057
122a8948a0
1318641a33
14dab8b20
159188880
hex62e78f8

103708920 has 128 divisors (see below), whose sum is σ = 357603840. Its totient is φ = 23569920.

The previous prime is 103708889. The next prime is 103708939. The reversal of 103708920 is 29807301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 277854 + ... + 278226.

It is an arithmetic number, because the mean of its divisors is an integer number (2793780).

Almost surely, 2103708920 is an apocalyptic number.

103708920 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 103708920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178801920).

103708920 is an abundant number, since it is smaller than the sum of its proper divisors (253894920).

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

103708920 is a wasteful number, since it uses less digits than its factorization.

103708920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 103708920 is about 10183.7576561896. The cubic root of 103708920 is about 469.8277926528.

The spelling of 103708920 in words is "one hundred three million, seven hundred eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 331 373 420 662 746 840 993 1119 1324 1492 1655 1865 1986 2238 2317 2611 2648 2984 3310 3730 3972 4476 4634 4965 5222 5595 6620 6951 7460 7833 7944 8952 9268 9930 10444 11190 11585 13055 13240 13902 14920 15666 18536 19860 20888 22380 23170 26110 27804 31332 34755 39165 39720 44760 46340 52220 55608 62664 69510 78330 92680 104440 123463 139020 156660 246926 278040 313320 370389 493852 617315 740778 864241 987704 1234630 1481556 1728482 1851945 2469260 2592723 2963112 3456964 3703890 4321205 4938520 5185446 6913928 7407780 8642410 10370892 12963615 14815560 17284820 20741784 25927230 34569640 51854460 103708920