Search a number
-
+
1997866368 = 27324142299
BaseRepresentation
bin111011100010101…
…0000010110000000
312011020100010102200
41313011100112000
513042423210433
6530125113200
7100336404201
oct16705202600
95136303380
101997866368
1193581a633
124790b8800
1325abab164
1414d4a15a8
15ba5e0613
hex77150580

1997866368 has 96 divisors (see below), whose sum is σ = 5889429000. Its totient is φ = 649697280.

The previous prime is 1997866363. The next prime is 1997866379. The reversal of 1997866368 is 8636687991.

1997866368 is a `hidden beast` number, since 199 + 7 + 86 + 6 + 368 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×19978663682 = 7982940048771022848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1997866363) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26083 + ... + 68381.

Almost surely, 21997866368 is an apocalyptic number.

1997866368 is a gapful number since it is divisible by the number (18) 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 1997866368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2944714500).

1997866368 is an abundant number, since it is smaller than the sum of its proper divisors (3891562632).

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

1997866368 is a wasteful number, since it uses less digits than its factorization.

1997866368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42360 (or 42345 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 63.

The square root of 1997866368 is about 44697.4984534929. The cubic root of 1997866368 is about 1259.4728558319.

The spelling of 1997866368 in words is "one billion, nine hundred ninety-seven million, eight hundred sixty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 128 144 164 192 246 288 328 369 384 492 576 656 738 984 1152 1312 1476 1968 2624 2952 3936 5248 5904 7872 11808 15744 23616 42299 47232 84598 126897 169196 253794 338392 380691 507588 676784 761382 1015176 1353568 1522764 1734259 2030352 2707136 3045528 3468518 4060704 5202777 5414272 6091056 6937036 8121408 10405554 12182112 13874072 15608331 16242816 20811108 24364224 27748144 31216662 41622216 48728448 55496288 62433324 83244432 110992576 124866648 166488864 221985152 249733296 332977728 499466592 665955456 998933184 1997866368