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1398025980 = 223451366383
BaseRepresentation
bin101001101010100…
…0010111011111100
310121102122002010000
41103111002323330
510330343312410
6350420314300
746434011331
oct12325027374
93542562100
101398025980
1165817067a
12330242990
1319383a110
14d395a988
1582b04dc0
hex53542efc

1398025980 has 120 divisors (see below), whose sum is σ = 4723088832. Its totient is φ = 344124288.

The previous prime is 1398025963. The next prime is 1398026027. The reversal of 1398025980 is 895208931.

It is a happy number.

1398025980 is a `hidden beast` number, since 1 + 398 + 0 + 259 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12132 + ... + 54251.

Almost surely, 21398025980 is an apocalyptic number.

1398025980 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 1398025980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2361544416).

1398025980 is an abundant number, since it is smaller than the sum of its proper divisors (3325062852).

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

1398025980 is a wasteful number, since it uses less digits than its factorization.

1398025980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66417 (or 66406 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 1398025980 is about 37390.1856106653. The cubic root of 1398025980 is about 1118.1629056344.

The spelling of 1398025980 in words is "one billion, three hundred ninety-eight million, twenty-five thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 260 270 324 351 390 405 468 540 585 702 780 810 1053 1170 1404 1620 1755 2106 2340 3510 4212 5265 7020 10530 21060 66383 132766 199149 265532 331915 398298 597447 663830 796596 862979 995745 1194894 1327660 1725958 1792341 1991490 2389788 2588937 2987235 3451916 3584682 3982980 4314895 5177874 5377023 5974470 7169364 7766811 8629790 8961705 10355748 10754046 11948940 12944685 15533622 17259580 17923410 21508092 23300433 25889370 26885115 31067244 35846820 38834055 46600866 51778740 53770230 69901299 77668110 93201732 107540460 116502165 139802598 155336220 233004330 279605196 349506495 466008660 699012990 1398025980