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204046640 = 24571991831
BaseRepresentation
bin11000010100110…
…00000100110000
3112012221122100222
430022120010300
5404213443030
632125232212
75025240110
oct1412300460
9465848328
10204046640
11a51a7296
1258402668
1333373175
141d157040
1512da83e5
hexc298130

204046640 has 80 divisors (see below), whose sum is σ = 545203200. Its totient is φ = 69569280.

The previous prime is 204046621. The next prime is 204046663. The reversal of 204046640 is 46640402.

It is a tau number, because it is divible by the number of its divisors (80).

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, 110525 + ... + 112355.

It is an arithmetic number, because the mean of its divisors is an integer number (6815040).

Almost surely, 2204046640 is an apocalyptic number.

204046640 is a gapful number since it is divisible by the number (20) 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 204046640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272601600).

204046640 is an abundant number, since it is smaller than the sum of its proper divisors (341156560).

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

204046640 is a wasteful number, since it uses less digits than its factorization.

204046640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2050 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 204046640 is about 14284.4894903528. The cubic root of 204046640 is about 588.7213908081.

The spelling of 204046640 in words is "two hundred four million, forty-six thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 199 280 398 560 796 995 1393 1592 1831 1990 2786 3184 3662 3980 5572 6965 7324 7960 9155 11144 12817 13930 14648 15920 18310 22288 25634 27860 29296 36620 51268 55720 64085 73240 102536 111440 128170 146480 205072 256340 364369 512680 728738 1025360 1457476 1821845 2550583 2914952 3643690 5101166 5829904 7287380 10202332 12752915 14574760 20404664 25505830 29149520 40809328 51011660 102023320 204046640