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104780640 = 2535239491
BaseRepresentation
bin1100011111011…
…01001101100000
321022011102000110
412033231031200
5203310440030
614221451320
72411422626
oct617551540
9238142013
10104780640
1154167278
122b110b40
13189287a3
14dcb7516
1592eb1b0
hex63ed360

104780640 has 96 divisors (see below), whose sum is σ = 344445696. Its totient is φ = 26723840.

The previous prime is 104780603. The next prime is 104780653. The reversal of 104780640 is 46087401.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 104780598 and 104780607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6295 + ... + 15785.

It is an arithmetic number, because the mean of its divisors is an integer number (3587976).

Almost surely, 2104780640 is an apocalyptic number.

104780640 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 104780640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172222848).

104780640 is an abundant number, since it is smaller than the sum of its proper divisors (239665056).

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

104780640 is a wasteful number, since it uses less digits than its factorization.

104780640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9532 (or 9524 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 104780640 is about 10236.2414977373. The cubic root of 104780640 is about 471.4406377602.

The spelling of 104780640 in words is "one hundred four million, seven hundred eighty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 69 80 92 96 115 120 138 160 184 230 240 276 345 368 460 480 552 690 736 920 1104 1380 1840 2208 2760 3680 5520 9491 11040 18982 28473 37964 47455 56946 75928 94910 113892 142365 151856 189820 218293 227784 284730 303712 379640 436586 455568 569460 654879 759280 873172 911136 1091465 1138920 1309758 1518560 1746344 2182930 2277840 2619516 3274395 3492688 4365860 4555680 5239032 6548790 6985376 8731720 10478064 13097580 17463440 20956128 26195160 34926880 52390320 104780640