Search a number
-
+
997399800 = 2332525471013
BaseRepresentation
bin111011011100110…
…001110011111000
32120111210011022100
4323130301303320
54020313243200
6242545423400
733500521065
oct7334616370
92514704270
10997399800
11472008261
1223a03ab60
1312b8397c7
1496671c6c
155c86ad00
hex3b731cf8

997399800 has 144 divisors (see below), whose sum is σ = 3359037240. Its totient is φ = 265224960.

The previous prime is 997399763. The next prime is 997399801. The reversal of 997399800 is 8993799.

It is a happy number.

It is a super-2 number, since 2×9973998002 = 1989612722080080000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (997399801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 984094 + ... + 985106.

Almost surely, 2997399800 is an apocalyptic number.

997399800 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

997399800 is the 18234-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 997399800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679518620).

997399800 is an abundant number, since it is smaller than the sum of its proper divisors (2361637440).

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

997399800 is a wasteful number, since it uses less digits than its factorization.

997399800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 54.

The square root of 997399800 is about 31581.6370696644. The cubic root of 997399800 is about 999.1325143529.

The spelling of 997399800 in words is "nine hundred ninety-seven million, three hundred ninety-nine thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 547 600 900 1013 1094 1641 1800 2026 2188 2735 3039 3282 4052 4376 4923 5065 5470 6078 6564 8104 8205 9117 9846 10130 10940 12156 13128 13675 15195 16410 18234 19692 20260 21880 24312 24615 25325 27350 30390 32820 36468 39384 40520 41025 45585 49230 50650 54700 60780 65640 72936 75975 82050 91170 98460 101300 109400 121560 123075 151950 164100 182340 196920 202600 227925 246150 303900 328200 364680 455850 492300 554111 607800 911700 984600 1108222 1662333 1823400 2216444 2770555 3324666 4432888 4986999 5541110 6649332 8311665 9973998 11082220 13298664 13852775 16623330 19947996 22164440 24934995 27705550 33246660 39895992 41558325 49869990 55411100 66493320 83116650 99739980 110822200 124674975 166233300 199479960 249349950 332466600 498699900 997399800