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1398189540 = 2235116134729
BaseRepresentation
bin101001101010110…
…1010110111100100
310121102221101110210
41103111222313210
510330414031130
6350424015420
746435262226
oct12325526744
93542841423
101398189540
11658272550
12330301570
131938966b7
14d39a0416
1582b385b0
hex5356ade4

1398189540 has 96 divisors (see below), whose sum is σ = 4340972160. Its totient is φ = 333388800.

The previous prime is 1398189523. The next prime is 1398189547. The reversal of 1398189540 is 459818931.

It is a self number, because there is not a number n which added to its sum of digits gives 1398189540.

It is not an unprimeable number, because it can be changed into a prime (1398189547) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 22896 + ... + 57624.

It is an arithmetic number, because the mean of its divisors is an integer number (45218460).

Almost surely, 21398189540 is an apocalyptic number.

1398189540 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 1398189540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2170486080).

1398189540 is an abundant number, since it is smaller than the sum of its proper divisors (2942782620).

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

1398189540 is a wasteful number, since it uses less digits than its factorization.

1398189540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34813 (or 34811 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 48.

The square root of 1398189540 is about 37392.3727516722. The cubic root of 1398189540 is about 1118.2065098772.

The spelling of 1398189540 in words is "one billion, three hundred ninety-eight million, one hundred eighty-nine thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 61 66 110 122 132 165 183 220 244 305 330 366 610 660 671 732 915 1220 1342 1830 2013 2684 3355 3660 4026 6710 8052 10065 13420 20130 34729 40260 69458 104187 138916 173645 208374 347290 382019 416748 520935 694580 764038 1041870 1146057 1528076 1910095 2083740 2118469 2292114 3820190 4236938 4584228 5730285 6355407 7640380 8473876 10592345 11460570 12710814 21184690 22921140 23303159 25421628 31777035 42369380 46606318 63554070 69909477 93212636 116515795 127108140 139818954 233031590 279637908 349547385 466063180 699094770 1398189540