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991440 = 2436517
BaseRepresentation
bin11110010000011010000
31212101000000
43302003100
5223211230
633130000
711266332
oct3620320
91771000
10991440
1161797a
123b9900
13289368
141bb452
15148b60
hexf20d0

991440 has 140 divisors (see below), whose sum is σ = 3659364. Its totient is φ = 248832.

The previous prime is 991429. The next prime is 991447. The reversal of 991440 is 44199.

It can be written as a sum of positive squares in 2 ways, for example, as 571536 + 419904 = 756^2 + 648^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (991447) by changing a digit.

991440 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 58312 + ... + 58328.

2991440 is an apocalyptic number.

991440 is a gapful number since it is divisible by the number (90) 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 991440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1829682).

991440 is an abundant number, since it is smaller than the sum of its proper divisors (2667924).

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

991440 is a wasteful number, since it uses less digits than its factorization.

991440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 991440 is about 995.7108013876. The cubic root of 991440 is about 99.7138486216.

It can be divided in two parts, 991 and 440, that added together give a triangular number (1431 = T53).

The spelling of 991440 in words is "nine hundred ninety-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 34 36 40 45 48 51 54 60 68 72 80 81 85 90 102 108 120 135 136 144 153 162 170 180 204 216 240 243 255 270 272 306 324 340 360 405 408 432 459 486 510 540 612 648 680 720 729 765 810 816 918 972 1020 1080 1215 1224 1296 1360 1377 1458 1530 1620 1836 1944 2040 2160 2295 2430 2448 2754 2916 3060 3240 3645 3672 3888 4080 4131 4590 4860 5508 5832 6120 6480 6885 7290 7344 8262 9180 9720 11016 11664 12240 12393 13770 14580 16524 18360 19440 20655 22032 24786 27540 29160 33048 36720 41310 49572 55080 58320 61965 66096 82620 99144 110160 123930 165240 198288 247860 330480 495720 991440