Search a number
-
+
1984914990 = 233519616343
BaseRepresentation
bin111011001001111…
…0110011000101110
312010022222010111000
41312103312120232
513031114234430
6524543341130
7100121333112
oct16623663056
95108863430
101984914990
11929484013
124748b17a6
132582c5116
1414b88d742
15b93d2e60
hex764f662e

1984914990 has 128 divisors (see below), whose sum is σ = 5663923200. Its totient is φ = 493153920.

The previous prime is 1984914989. The next prime is 1984914991. The reversal of 1984914990 is 994194891.

It is an interprime number because it is at equal distance from previous prime (1984914989) and next prime (1984914991).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1984914991) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 309759 + ... + 316101.

It is an arithmetic number, because the mean of its divisors is an integer number (44249400).

Almost surely, 21984914990 is an apocalyptic number.

1984914990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1984914990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2831961600).

1984914990 is an abundant number, since it is smaller than the sum of its proper divisors (3679008210).

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

1984914990 is a wasteful number, since it uses less digits than its factorization.

1984914990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6439 (or 6433 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 54.

The square root of 1984914990 is about 44552.3847846555. The cubic root of 1984914990 is about 1256.7453987341.

The spelling of 1984914990 in words is "one billion, nine hundred eighty-four million, nine hundred fourteen thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 61 90 95 114 122 135 171 183 190 270 285 305 342 366 513 549 570 610 855 915 1026 1098 1159 1647 1710 1830 2318 2565 2745 3294 3477 5130 5490 5795 6343 6954 8235 10431 11590 12686 16470 17385 19029 20862 31293 31715 34770 38058 52155 57087 62586 63430 95145 104310 114174 120517 156465 171261 190290 241034 285435 312930 342522 361551 386923 570870 602585 723102 773846 856305 1084653 1160769 1205170 1712610 1807755 1934615 2169306 2321538 3253959 3482307 3615510 3869230 5423265 5803845 6507918 6964614 7351537 10446921 10846530 11607690 14703074 16269795 17411535 20893842 22054611 32539590 34823070 36757685 44109222 52234605 66163833 73515370 104469210 110273055 132327666 198491499 220546110 330819165 396982998 661638330 992457495 1984914990