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1380277440 = 26325479263
BaseRepresentation
bin101001001000101…
…0101110011000000
310120012020100200200
41102101111303000
510311322334230
6344544045200
746130110323
oct12221256300
93505210620
101380277440
11649148963
12326303800
1318cc64719
14d145a7ba
158129b160
hex52455cc0

1380277440 has 84 divisors (see below), whose sum is σ = 4747589184. Its totient is φ = 368073216.

The previous prime is 1380277429. The next prime is 1380277453. The reversal of 1380277440 is 447720831.

It is a happy number.

1380277440 is a `hidden beast` number, since 1 + 380 + 277 + 4 + 4 + 0 = 666.

It is a super-2 number, since 2×13802774402 = 3810331622745907200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1380277395 and 1380277404.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 236752 + ... + 242511.

Almost surely, 21380277440 is an apocalyptic number.

1380277440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1380277440 is an abundant number, since it is smaller than the sum of its proper divisors (3367311744).

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

1380277440 is a wasteful number, since it uses less digits than its factorization.

1380277440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479286 (or 479273 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 1380277440 is about 37152.0852712200. The cubic root of 1380277440 is about 1113.4108861878.

The spelling of 1380277440 in words is "one billion, three hundred eighty million, two hundred seventy-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 479263 958526 1437789 1917052 2396315 2875578 3834104 4313367 4792630 5751156 7188945 7668208 8626734 9585260 11502312 14377890 15336416 17253468 19170520 21566835 23004624 28755780 30672832 34506936 38341040 43133670 46009248 57511560 69013872 76682080 86267340 92018496 115023120 138027744 153364160 172534680 230046240 276055488 345069360 460092480 690138720 1380277440