Search a number
-
+
1895401340 = 2257297127157
BaseRepresentation
bin111000011111001…
…1000011101111100
311220002112100211122
41300332120131330
512340210320330
6512025010112
764653434300
oct16076303574
94802470748
101895401340
118929a5098
1244a923938
132428b3671
1413da2bd00
15b16005e5
hex70f9877c

1895401340 has 144 divisors (see below), whose sum is σ = 4744793088. Its totient is φ = 634023936.

The previous prime is 1895401301. The next prime is 1895401351. The reversal of 1895401340 is 431045981.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 1895401340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12072542 + ... + 12072698.

It is an arithmetic number, because the mean of its divisors is an integer number (32949952).

Almost surely, 21895401340 is an apocalyptic number.

1895401340 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 1895401340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2372396544).

1895401340 is an abundant number, since it is smaller than the sum of its proper divisors (2849391748).

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

1895401340 is a wasteful number, since it uses less digits than its factorization.

1895401340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 1895401340 is about 43536.2072303043. The cubic root of 1895401340 is about 1237.5622720084.

The spelling of 1895401340 in words is "one billion, eight hundred ninety-five million, four hundred one thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 97 98 127 140 157 194 196 245 254 314 388 485 490 508 628 635 679 785 889 970 980 1099 1270 1358 1570 1778 1940 2198 2540 2716 3140 3395 3556 4396 4445 4753 5495 6223 6790 7693 8890 9506 10990 12319 12446 13580 15229 15386 17780 19012 19939 21980 23765 24638 24892 30458 30772 31115 38465 39878 47530 49276 60916 61595 62230 76145 76930 79756 86233 95060 99695 106603 123190 124460 139573 152290 153860 172466 199390 213206 246380 279146 304580 344932 398780 426412 431165 533015 558292 603631 697865 746221 862330 977011 1066030 1207262 1395730 1492442 1724660 1934083 1954022 2132060 2414524 2791460 2984884 3018155 3731105 3868166 3908044 4885055 6036310 7462210 7736332 9670415 9770110 12072620 13538581 14924420 19340830 19540220 27077162 38681660 54154324 67692905 94770067 135385810 189540134 270771620 379080268 473850335 947700670 1895401340