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1991040 = 27351761
BaseRepresentation
bin111100110000110000000
310202011012020
413212012000
51002203130
6110401440
722631532
oct7460600
93664166
101991040
11113a997
12800280
1354933c
1439b852
15294e10
hex1e6180

1991040 has 128 divisors (see below), whose sum is σ = 6829920. Its totient is φ = 491520.

The previous prime is 1991027. The next prime is 1991047. The reversal of 1991040 is 401991.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1991040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1991047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32610 + ... + 32670.

21991040 is an apocalyptic number.

1991040 is a gapful number since it is divisible by the number (10) 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 1991040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3414960).

1991040 is an abundant number, since it is smaller than the sum of its proper divisors (4838880).

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

1991040 is a wasteful number, since it uses less digits than its factorization.

1991040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 1991040 is about 1411.0421680446. The cubic root of 1991040 is about 125.8036751100.

The spelling of 1991040 in words is "one million, nine hundred ninety-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 61 64 68 80 85 96 102 120 122 128 136 160 170 183 192 204 240 244 255 272 305 320 340 366 384 408 480 488 510 544 610 640 680 732 816 915 960 976 1020 1037 1088 1220 1360 1464 1632 1830 1920 1952 2040 2074 2176 2440 2720 2928 3111 3264 3660 3904 4080 4148 4880 5185 5440 5856 6222 6528 7320 7808 8160 8296 9760 10370 10880 11712 12444 14640 15555 16320 16592 19520 20740 23424 24888 29280 31110 32640 33184 39040 41480 49776 58560 62220 66368 82960 99552 117120 124440 132736 165920 199104 248880 331840 398208 497760 663680 995520 1991040