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104706240 = 2635293761
BaseRepresentation
bin1100011110110…
…11000011000000
321022000121221220
412033123003000
5203301044430
614220115040
72410663002
oct617330300
9238017856
10104706240
1154116391
122b095a80
1318900972
14dc98372
1592d4110
hex63db0c0

104706240 has 112 divisors (see below), whose sum is σ = 343997280. Its totient is φ = 26951680.

The previous prime is 104706233. The next prime is 104706253. The reversal of 104706240 is 42607401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 104706240.

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, 25960 + ... + 29720.

Almost surely, 2104706240 is an apocalyptic number.

104706240 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 104706240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171998640).

104706240 is an abundant number, since it is smaller than the sum of its proper divisors (239291040).

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

104706240 is a wasteful number, since it uses less digits than its factorization.

104706240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3810 (or 3800 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 104706240 is about 10232.6067060158. The cubic root of 104706240 is about 471.3290284384.

The spelling of 104706240 in words is "one hundred four million, seven hundred six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 145 160 174 192 232 240 290 320 348 435 464 480 580 696 870 928 960 1160 1392 1740 1856 2320 2784 3480 3761 4640 5568 6960 7522 9280 11283 13920 15044 18805 22566 27840 30088 37610 45132 56415 60176 75220 90264 109069 112830 120352 150440 180528 218138 225660 240704 300880 327207 361056 436276 451320 545345 601760 654414 722112 872552 902640 1090690 1203520 1308828 1636035 1745104 1805280 2181380 2617656 3272070 3490208 3610560 4362760 5235312 6544140 6980416 8725520 10470624 13088280 17451040 20941248 26176560 34902080 52353120 104706240