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104006700 = 22335275503
BaseRepresentation
bin1100011001100…
…00010000101100
321020201002101000
412030300100230
5203111203300
614153120300
72402020350
oct614602054
9236632330
10104006700
1153788856
122a9b9090
1318717435
14db55460
1591e6c00
hex633042c

104006700 has 144 divisors (see below), whose sum is σ = 382197760. Its totient is φ = 23768640.

The previous prime is 104006689. The next prime is 104006717. The reversal of 104006700 is 7600401.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16149 + ... + 21651.

Almost surely, 2104006700 is an apocalyptic number.

104006700 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 104006700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191098880).

104006700 is an abundant number, since it is smaller than the sum of its proper divisors (278191060).

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

104006700 is a wasteful number, since it uses less digits than its factorization.

104006700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5533 (or 5520 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 104006700 is about 10198.3675164214. The cubic root of 104006700 is about 470.2770360083.

The spelling of 104006700 in words is "one hundred four million, six thousand, seven hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 27 28 30 35 36 42 45 50 54 60 63 70 75 84 90 100 105 108 126 135 140 150 175 180 189 210 225 252 270 300 315 350 378 420 450 525 540 630 675 700 756 900 945 1050 1260 1350 1575 1890 2100 2700 3150 3780 4725 5503 6300 9450 11006 16509 18900 22012 27515 33018 38521 49527 55030 66036 77042 82545 99054 110060 115563 137575 148581 154084 165090 192605 198108 231126 247635 275150 297162 330180 346689 385210 412725 462252 495270 550300 577815 594324 693378 742905 770420 825450 963025 990540 1040067 1155630 1238175 1386756 1485810 1650900 1733445 1926050 2080134 2311260 2476350 2889075 2971620 3466890 3714525 3852100 4160268 4952700 5200335 5778150 6933780 7429050 8667225 10400670 11556300 14858100 17334450 20801340 26001675 34668900 52003350 104006700