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1387806720 = 214355647
BaseRepresentation
bin101001010111000…
…0100000000000000
310120201101212220220
41102232010000000
510320234303340
6345413303040
746251106506
oct12256040000
93521355826
101387806720
11652420803
12328934a80
1319169c811
14d245a676
1581c86ed0
hex52b84000

1387806720 has 120 divisors (see below), whose sum is σ = 4441632384. Its totient is φ = 370016256.

The previous prime is 1387806709. The next prime is 1387806727. The reversal of 1387806720 is 276087831.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (1387806727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 242937 + ... + 248583.

Almost surely, 21387806720 is an apocalyptic number.

1387806720 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 1387806720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2220816192).

1387806720 is an abundant number, since it is smaller than the sum of its proper divisors (3053825664).

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

1387806720 is an frugal number, since it uses more digits than its factorization.

1387806720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5683 (or 5657 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 1387806720 is about 37253.2779765754. The cubic root of 1387806720 is about 1115.4317323723.

The spelling of 1387806720 in words is "one billion, three hundred eighty-seven million, eight hundred six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 4096 5120 5647 6144 7680 8192 10240 11294 12288 15360 16384 16941 20480 22588 24576 28235 30720 33882 40960 45176 49152 56470 61440 67764 81920 84705 90352 112940 122880 135528 169410 180704 225880 245760 271056 338820 361408 451760 542112 677640 722816 903520 1084224 1355280 1445632 1807040 2168448 2710560 2891264 3614080 4336896 5421120 5782528 7228160 8673792 10842240 11565056 14456320 17347584 21684480 23130112 28912640 34695168 43368960 46260224 57825280 69390336 86737920 92520448 115650560 138780672 173475840 231301120 277561344 346951680 462602240 693903360 1387806720