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103909950 = 2325217347
BaseRepresentation
bin1100011000110…
…00101000111110
321020112011122200
412030120220332
5203100104300
614151052330
72401135314
oct614305076
9236464580
10103909950
11537220a1
122a9710a6
13186b23a1
14db2c0b4
1591c8200
hex6318a3e

103909950 has 144 divisors (see below), whose sum is σ = 302927040. Its totient is φ = 25524480.

The previous prime is 103909943. The next prime is 103909951. The reversal of 103909950 is 59909301.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103909951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2210827 + ... + 2210873.

It is an arithmetic number, because the mean of its divisors is an integer number (2103660).

Almost surely, 2103909950 is an apocalyptic number.

103909950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103909950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151463520).

103909950 is an abundant number, since it is smaller than the sum of its proper divisors (199017090).

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

103909950 is a wasteful number, since it uses less digits than its factorization.

103909950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 10935, while the sum is 36.

The square root of 103909950 is about 10193.6230065664. The cubic root of 103909950 is about 470.1311690633.

The spelling of 103909950 in words is "one hundred three million, nine hundred nine thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 30 34 45 47 50 51 75 85 90 94 102 141 150 153 170 225 235 255 282 289 306 423 425 450 470 510 578 705 765 799 846 850 867 1175 1275 1410 1445 1530 1598 1734 2115 2350 2397 2550 2601 2890 3525 3825 3995 4230 4335 4794 4913 5202 7050 7191 7225 7650 7990 8670 9826 10575 11985 13005 13583 14382 14450 14739 19975 21150 21675 23970 24565 26010 27166 29478 35955 39950 40749 43350 44217 49130 59925 65025 67915 71910 73695 81498 88434 119850 122247 122825 130050 135830 147390 179775 203745 221085 230911 244494 245650 339575 359550 368475 407490 442170 461822 611235 679150 692733 736950 1018725 1105425 1154555 1222470 1385466 2037450 2078199 2210850 2309110 3056175 3463665 4156398 5772775 6112350 6927330 10390995 11545550 17318325 20781990 34636650 51954975 103909950