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1997499960 = 2333514912413
BaseRepresentation
bin111011100001111…
…0110111000111000
312011012122111211000
41313003312320320
513042324444320
6530113205000
7100333320021
oct16703667070
95135574730
101997499960
1193559a315
12478b60760
1325aab0451
1414d407c48
15ba56bc90
hex770f6e38

1997499960 has 128 divisors (see below), whose sum is σ = 6703560000. Its totient is φ = 529049088.

The previous prime is 1997499947. The next prime is 1997499979. The reversal of 1997499960 is 699947991.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154714 + ... + 167126.

Almost surely, 21997499960 is an apocalyptic number.

1997499960 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 1997499960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3351780000).

1997499960 is an abundant number, since it is smaller than the sum of its proper divisors (4706060040).

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

1997499960 is a wasteful number, since it uses less digits than its factorization.

1997499960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12582 (or 12572 counting only the distinct ones).

The product of its (nonzero) digits is 9920232, while the sum is 63.

The square root of 1997499960 is about 44693.3995126797. The cubic root of 1997499960 is about 1259.3958554959.

The spelling of 1997499960 in words is "one billion, nine hundred ninety-seven million, four hundred ninety-nine thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 149 180 216 270 298 360 447 540 596 745 894 1080 1192 1341 1490 1788 2235 2682 2980 3576 4023 4470 5364 5960 6705 8046 8940 10728 12413 13410 16092 17880 20115 24826 26820 32184 37239 40230 49652 53640 62065 74478 80460 99304 111717 124130 148956 160920 186195 223434 248260 297912 335151 372390 446868 496520 558585 670302 744780 893736 1117170 1340604 1489560 1675755 1849537 2234340 2681208 3351510 3699074 4468680 5548611 6703020 7398148 9247685 11097222 13406040 14796296 16645833 18495370 22194444 27743055 33291666 36990740 44388888 49937499 55486110 66583332 73981480 83229165 99874998 110972220 133166664 166458330 199749996 221944440 249687495 332916660 399499992 499374990 665833320 998749980 1997499960