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1998654640 = 245172137631
BaseRepresentation
bin111011100100001…
…0000110010110000
312011021211011201221
41313020100302300
513043123422030
6530154034424
7100346166313
oct16710206260
95137734657
101998654640
119362088a4
12479418a14
1325b0c5ba8
1414d62897a
15ba6e8e7a
hex77210cb0

1998654640 has 120 divisors (see below), whose sum is σ = 4980208032. Its totient is φ = 745758720.

The previous prime is 1998654613. The next prime is 1998654653. The reversal of 1998654640 is 464568991.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3167125 + ... + 3167755.

Almost surely, 21998654640 is an apocalyptic number.

1998654640 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 1998654640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2490104016).

1998654640 is an abundant number, since it is smaller than the sum of its proper divisors (2981553392).

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

1998654640 is a wasteful number, since it uses less digits than its factorization.

1998654640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 52.

The square root of 1998654640 is about 44706.3154375307. The cubic root of 1998654640 is about 1259.6384786281.

The spelling of 1998654640 in words is "one billion, nine hundred ninety-eight million, six hundred fifty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 137 170 272 274 289 340 548 578 631 680 685 1096 1156 1262 1360 1370 1445 2192 2312 2329 2524 2740 2890 3155 4624 4658 5048 5480 5780 6310 9316 10096 10727 10960 11560 11645 12620 18632 21454 23120 23290 25240 37264 39593 42908 46580 50480 53635 79186 85816 86447 93160 107270 158372 171632 172894 182359 186320 197965 214540 316744 345788 364718 395930 429080 432235 633488 691576 729436 791860 858160 864470 911795 1383152 1458872 1469599 1583720 1728940 1823590 2917744 2939198 3167440 3457880 3647180 5878396 6915760 7294360 7347995 11756792 14588720 14695990 23513584 24983183 29391980 49966366 58783960 99932732 117567920 124915915 199865464 249831830 399730928 499663660 999327320 1998654640