Search a number
-
+
1894125440 = 27523128677
BaseRepresentation
bin111000011100110…
…0000111110000000
311220000010112122002
41300321200332000
512334344003230
6511541403132
764636541414
oct16071407600
94800115562
101894125440
11892203529
1244a4094a8
132425579ac
1413d7b8d44
15b144c545
hex70e60f80

1894125440 has 64 divisors (see below), whose sum is σ = 4725056160. Its totient is φ = 724703232.

The previous prime is 1894125419. The next prime is 1894125469. The reversal of 1894125440 is 445214981.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×18941254402 = 7175422364910387200, which contains 22 as substring.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 1894125394 and 1894125403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49619 + ... + 79058.

Almost surely, 21894125440 is an apocalyptic number.

1894125440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1894125440 is an abundant number, since it is smaller than the sum of its proper divisors (2830930720).

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

1894125440 is a wasteful number, since it uses less digits than its factorization.

1894125440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128719 (or 128707 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 1894125440 is about 43521.5514429346. The cubic root of 1894125440 is about 1237.2845190232.

The spelling of 1894125440 in words is "one billion, eight hundred ninety-four million, one hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 320 368 460 640 736 920 1472 1840 2944 3680 7360 14720 128677 257354 514708 643385 1029416 1286770 2058832 2573540 2959571 4117664 5147080 5919142 8235328 10294160 11838284 14797855 16470656 20588320 23676568 29595710 41176640 47353136 59191420 82353280 94706272 118382840 189412544 236765680 378825088 473531360 947062720 1894125440