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1387314180 = 2232572937967
BaseRepresentation
bin101001010110000…
…1011110000000100
310120200110212021200
41102230023300010
510320123023210
6345354542500
746243655520
oct12254136004
93520425250
101387314180
1165211474a
12328737a30
13191559585
14d236cd80
1581bdb0c0
hex52b0bc04

1387314180 has 144 divisors (see below), whose sum is σ = 4975326720. Its totient is φ = 306157824.

The previous prime is 1387314169. The next prime is 1387314251. The reversal of 1387314180 is 814137831.

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

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, 17557 + ... + 55523.

It is an arithmetic number, because the mean of its divisors is an integer number (34550880).

Almost surely, 21387314180 is an apocalyptic number.

1387314180 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 1387314180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2487663360).

1387314180 is an abundant number, since it is smaller than the sum of its proper divisors (3588012540).

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

1387314180 is a wasteful number, since it uses less digits than its factorization.

1387314180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38018 (or 38013 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1387314180 is about 37246.6666964978. Note that the first 4 decimals coincide. The cubic root of 1387314180 is about 1115.2997592032.

The spelling of 1387314180 in words is "one billion, three hundred eighty-seven million, three hundred fourteen thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 29 30 35 36 42 45 58 60 63 70 84 87 90 105 116 126 140 145 174 180 203 210 252 261 290 315 348 406 420 435 522 580 609 630 812 870 1015 1044 1218 1260 1305 1740 1827 2030 2436 2610 3045 3654 4060 5220 6090 7308 9135 12180 18270 36540 37967 75934 113901 151868 189835 227802 265769 341703 379670 455604 531538 569505 683406 759340 797307 1063076 1101043 1139010 1328845 1366812 1594614 1708515 2202086 2278020 2391921 2657690 3189228 3303129 3417030 3986535 4404172 4783842 5315380 5505215 6606258 6834060 7707301 7973070 9567684 9909387 11010430 11959605 13212516 15414602 15946140 16515645 19818774 22020860 23121903 23919210 30829204 33031290 38536505 39637548 46243806 47838420 49546935 66062580 69365709 77073010 92487612 99093870 115609515 138731418 154146020 198187740 231219030 277462836 346828545 462438060 693657090 1387314180