Search a number
-
+
1378214460 = 223357364607
BaseRepresentation
bin101001000100101…
…1110001000111100
310120001100112211000
41102021132020330
510310310330320
6344431530300
746103425650
oct12211361074
93501315730
101378214460
11647a69a17
12325689990
1318c6c171c
14d1080a60
1580edec90
hex5225e23c

1378214460 has 96 divisors (see below), whose sum is σ = 4900331520. Its totient is φ = 315019584.

The previous prime is 1378214449. The next prime is 1378214471. The reversal of 1378214460 is 644128731.

1378214460 is a `hidden beast` number, since 137 + 82 + 1 + 446 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1378214449) and next prime (1378214471).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178524 + ... + 186083.

It is an arithmetic number, because the mean of its divisors is an integer number (51045120).

Almost surely, 21378214460 is an apocalyptic number.

1378214460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1378214460 is an abundant number, since it is smaller than the sum of its proper divisors (3522117060).

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

1378214460 is a wasteful number, since it uses less digits than its factorization.

1378214460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364632 (or 364624 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1378214460 is about 37124.3109026956. The cubic root of 1378214460 is about 1112.8559036357.

The spelling of 1378214460 in words is "one billion, three hundred seventy-eight million, two hundred fourteen thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 364607 729214 1093821 1458428 1823035 2187642 2552249 3281463 3646070 4375284 5104498 5469105 6562926 7292140 7656747 9844389 10208996 10938210 12761245 13125852 15313494 16407315 19688778 21876420 22970241 25522490 30626988 32814630 38283735 39377556 45940482 49221945 51044980 65629260 68910723 76567470 91880964 98443890 114851205 137821446 153134940 196887780 229702410 275642892 344553615 459404820 689107230 1378214460