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104331040 = 25511217317
BaseRepresentation
bin1100011011111…
…11011100100000
321021022120021121
412031333130200
5203202043130
614204102024
72404541062
oct615773440
9237276247
10104331040
115398a500
122ab34914
13187cbc58
14dbdb732
15925cd7a
hex637f720

104331040 has 144 divisors (see below), whose sum is σ = 287768376. Its totient is φ = 35594240.

The previous prime is 104331011. The next prime is 104331041. The reversal of 104331040 is 40133401.

It can be written as a sum of positive squares in 4 ways, for example, as 72114064 + 32216976 = 8492^2 + 5676^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104331041) 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, 328962 + ... + 329278.

Almost surely, 2104331040 is an apocalyptic number.

104331040 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 104331040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143884188).

104331040 is an abundant number, since it is smaller than the sum of its proper divisors (183437336).

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

104331040 is a wasteful number, since it uses less digits than its factorization.

104331040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 104331040 is about 10214.2567032555. The cubic root of 104331040 is about 470.7653743423.

Adding to 104331040 its reverse (40133401), we get a palindrome (144464441).

The spelling of 104331040 in words is "one hundred four million, three hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 32 34 40 44 55 68 80 85 88 110 121 136 160 170 176 187 220 242 272 317 340 352 374 440 484 544 605 634 680 748 880 935 968 1210 1268 1360 1496 1585 1760 1870 1936 2057 2420 2536 2720 2992 3170 3487 3740 3872 4114 4840 5072 5389 5984 6340 6974 7480 8228 9680 10144 10285 10778 12680 13948 14960 16456 17435 19360 20570 21556 25360 26945 27896 29920 32912 34870 38357 41140 43112 50720 53890 55792 59279 65824 69740 76714 82280 86224 107780 111584 118558 139480 153428 164560 172448 191785 215560 237116 278960 296395 306856 329120 383570 431120 474232 557920 592790 613712 652069 767140 862240 948464 1185580 1227424 1304138 1534280 1896928 2371160 2608276 3068560 3260345 4742320 5216552 6137120 6520690 9484640 10433104 13041380 20866208 26082760 52165520 104331040