Search a number
-
+
390134523680 = 25511439504937
BaseRepresentation
bin1011010110101011101…
…01000110011100100000
31101022000010221020122222
411223111311012130200
522342443414224210
6455120400450212
740120616510246
oct5532565063440
91338003836588
10390134523680
11140500849a90
126373b319968
132aa357916a5
1414c4dc5a796
15a23575e655
hex5ad5d46720

390134523680 has 96 divisors (see below), whose sum is σ = 1007775457920. Its totient is φ = 141543659520.

The previous prime is 390134523671. The next prime is 390134523733. The reversal of 390134523680 is 86325431093.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 520172 + ... + 1025108.

It is an arithmetic number, because the mean of its divisors is an integer number (10497661020).

Almost surely, 2390134523680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390134523680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503887728960).

390134523680 is an abundant number, since it is smaller than the sum of its proper divisors (617640934240).

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

390134523680 is a wasteful number, since it uses less digits than its factorization.

390134523680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505402 (or 505394 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 44.

The spelling of 390134523680 in words is "three hundred ninety billion, one hundred thirty-four million, five hundred twenty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 439 440 878 880 1756 1760 2195 3512 4390 4829 7024 8780 9658 14048 17560 19316 24145 35120 38632 48290 70240 77264 96580 154528 193160 386320 504937 772640 1009874 2019748 2524685 4039496 5049370 5554307 8078992 10098740 11108614 16157984 20197480 22217228 27771535 40394960 44434456 55543070 80789920 88868912 111086140 177737824 221667343 222172280 443334686 444344560 886669372 888689120 1108336715 1773338744 2216673430 2438340773 3546677488 4433346860 4876681546 7093354976 8866693720 9753363092 12191703865 17733387440 19506726184 24383407730 35466774880 39013452368 48766815460 78026904736 97533630920 195067261840 390134523680