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1097376 = 25372371
BaseRepresentation
bin100001011111010100000
32001202022120
410023322200
5240104001
635304240
712220230
oct4137240
92052276
101097376
1168a525
1244b080
132c5647
14207cc0
1516a236
hex10bea0

1097376 has 96 divisors (see below), whose sum is σ = 3483648. Its totient is φ = 295680.

The previous prime is 1097359. The next prime is 1097377. The reversal of 1097376 is 6737901.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1097377) 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, 15421 + ... + 15491.

It is an arithmetic number, because the mean of its divisors is an integer number (36288).

21097376 is an apocalyptic number.

1097376 is a gapful number since it is divisible by the number (16) 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 1097376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741824).

1097376 is an abundant number, since it is smaller than the sum of its proper divisors (2386272).

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

1097376 is a wasteful number, since it uses less digits than its factorization.

1097376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 33.

The square root of 1097376 is about 1047.5571583451. The cubic root of 1097376 is about 103.1458642817.

The spelling of 1097376 in words is "one million, ninety-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 69 71 84 92 96 112 138 142 161 168 184 213 224 276 284 322 336 368 426 483 497 552 568 644 672 736 852 966 994 1104 1136 1288 1491 1633 1704 1932 1988 2208 2272 2576 2982 3266 3408 3864 3976 4899 5152 5964 6532 6816 7728 7952 9798 11431 11928 13064 15456 15904 19596 22862 23856 26128 34293 39192 45724 47712 52256 68586 78384 91448 137172 156768 182896 274344 365792 548688 1097376