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104142640 = 2457231857
BaseRepresentation
bin1100011010100…
…01011100110000
321020221222211211
412031101130300
5203130031030
614200045504
72403124600
oct615213460
9236858754
10104142640
11538709a8
122aa63894
1318764284
14db8cc00
15922212a
hex6351730

104142640 has 120 divisors (see below), whose sum is σ = 291088512. Its totient is φ = 34513920.

The previous prime is 104142631. The next prime is 104142641. The reversal of 104142640 is 46241401.

It is not an unprimeable number, because it can be changed into a prime (104142641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121092 + ... + 121948.

Almost surely, 2104142640 is an apocalyptic number.

104142640 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 104142640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145544256).

104142640 is an abundant number, since it is smaller than the sum of its proper divisors (186945872).

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

104142640 is a wasteful number, since it uses less digits than its factorization.

104142640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 104142640 is about 10205.0301322436. The cubic root of 104142640 is about 470.4818357244.

It can be divided in two parts, 1041 and 42640, that added together give a square (43681 = 2092).

The spelling of 104142640 in words is "one hundred four million, one hundred forty-two thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 49 56 62 70 80 98 112 124 140 155 196 217 245 248 280 310 392 434 490 496 560 620 784 857 868 980 1085 1240 1519 1714 1736 1960 2170 2480 3038 3428 3472 3920 4285 4340 5999 6076 6856 7595 8570 8680 11998 12152 13712 15190 17140 17360 23996 24304 26567 29995 30380 34280 41993 47992 53134 59990 60760 68560 83986 95984 106268 119980 121520 132835 167972 185969 209965 212536 239960 265670 335944 371938 419930 425072 479920 531340 671888 743876 839860 929845 1062680 1301783 1487752 1679720 1859690 2125360 2603566 2975504 3359440 3719380 5207132 6508915 7438760 10414264 13017830 14877520 20828528 26035660 52071320 104142640