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1387996560 = 2435571399
BaseRepresentation
bin101001010111011…
…0010010110010000
310120201202112100000
41102232302112100
510320311342220
6345421330000
746252530126
oct12256622620
93521675300
101387996560
116525403a5
12328a06900
13191738052
14d24a9916
1581cc3390
hex52bb2590

1387996560 has 120 divisors (see below), whose sum is σ = 4834065600. Its totient is φ = 370127232.

The previous prime is 1387996559. The next prime is 1387996639. The reversal of 1387996560 is 656997831.

1387996560 is a `hidden beast` number, since 1 + 3 + 8 + 79 + 9 + 6 + 560 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1387996497 and 1387996506.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16260 + ... + 55139.

It is an arithmetic number, because the mean of its divisors is an integer number (40283880).

Almost surely, 21387996560 is an apocalyptic number.

1387996560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1387996560 is an abundant number, since it is smaller than the sum of its proper divisors (3446069040).

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

1387996560 is an equidigital number, since it uses as much as digits as its factorization.

1387996560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71427 (or 71409 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The square root of 1387996560 is about 37255.8258531468. The cubic root of 1387996560 is about 1115.4825905363.

The spelling of 1387996560 in words is "one billion, three hundred eighty-seven million, nine hundred ninety-six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 810 972 1080 1215 1296 1620 1944 2160 2430 3240 3888 4860 6480 9720 19440 71399 142798 214197 285596 356995 428394 571192 642591 713990 856788 1070985 1142384 1285182 1427980 1713576 1927773 2141970 2570364 2855960 3212955 3427152 3855546 4283940 5140728 5711920 5783319 6425910 7711092 8567880 9638865 10281456 11566638 12851820 15422184 17135760 17349957 19277730 23133276 25703640 28916595 30844368 34699914 38555460 46266552 51407280 57833190 69399828 77110920 86749785 92533104 115666380 138799656 154221840 173499570 231332760 277599312 346999140 462665520 693998280 1387996560