Search a number
-
+
1997183088 = 243343910531
BaseRepresentation
bin111011100001010…
…1001100001110000
312011012001102011000
41313002221201300
513042234324323
6530102322000
7100330530135
oct16702514160
95135042130
101997183088
119353a323a
12478a29300
1325a9cc154
1414d36458c
15ba507e43
hex770a9870

1997183088 has 80 divisors (see below), whose sum is σ = 5746259200. Its totient is φ = 664148160.

The previous prime is 1997183063. The next prime is 1997183113. The reversal of 1997183088 is 8803817991.

It is an interprime number because it is at equal distance from previous prime (1997183063) and next prime (1997183113).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184383 + ... + 194913.

It is an arithmetic number, because the mean of its divisors is an integer number (71828240).

Almost surely, 21997183088 is an apocalyptic number.

1997183088 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 1997183088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2873129600).

1997183088 is an abundant number, since it is smaller than the sum of its proper divisors (3749076112).

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

1997183088 is a wasteful number, since it uses less digits than its factorization.

1997183088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10987 (or 10975 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 54.

The square root of 1997183088 is about 44689.8544190961. The cubic root of 1997183088 is about 1259.3292575159.

The spelling of 1997183088 in words is "one billion, nine hundred ninety-seven million, one hundred eighty-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 439 878 1317 1756 2634 3512 3951 5268 7024 7902 10531 10536 11853 15804 21062 21072 23706 31593 31608 42124 47412 63186 63216 84248 94779 94824 126372 168496 189558 189648 252744 284337 379116 505488 568674 758232 1137348 1516464 2274696 4549392 4623109 9246218 13869327 18492436 27738654 36984872 41607981 55477308 73969744 83215962 110954616 124823943 166431924 221909232 249647886 332863848 499295772 665727696 998591544 1997183088