Search a number
-
+
997152030 = 232573174993
BaseRepresentation
bin111011011011110…
…101010100011110
32120111022120102200
4323123311110132
54020232331110
6242540232330
733465436530
oct7333652436
92514276380
10997152030
11471959096
12239b3b6a6
1312b780ab4
1496609850
155c81c6c0
hex3b6f551e

997152030 has 96 divisors (see below), whose sum is σ = 2972908224. Its totient is φ = 227155968.

The previous prime is 997152019. The next prime is 997152043. The reversal of 997152030 is 30251799.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 197214 + ... + 202206.

It is an arithmetic number, because the mean of its divisors is an integer number (30967794).

Almost surely, 2997152030 is an apocalyptic number.

997152030 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 997152030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486454112).

997152030 is an abundant number, since it is smaller than the sum of its proper divisors (1975756194).

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

997152030 is a wasteful number, since it uses less digits than its factorization.

997152030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5330 (or 5327 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 997152030 is about 31577.7141351302. The cubic root of 997152030 is about 999.0497740233.

It can be divided in two parts, 9971 and 52030, that added together give a square (62001 = 2492).

The spelling of 997152030 in words is "nine hundred ninety-seven million, one hundred fifty-two thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 317 630 634 951 1585 1902 2219 2853 3170 4438 4755 4993 5706 6657 9510 9986 11095 13314 14265 14979 19971 22190 24965 28530 29958 33285 34951 39942 44937 49930 66570 69902 74895 89874 99855 104853 149790 174755 199710 209706 224685 314559 349510 449370 524265 629118 1048530 1572795 1582781 3145590 3165562 4748343 7913905 9496686 11079467 14245029 15827810 22158934 23741715 28490058 33238401 47483430 55397335 66476802 71225145 99715203 110794670 142450290 166192005 199430406 332384010 498576015 997152030