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10097780 = 2257117983
BaseRepresentation
bin100110100001…
…010001110100
3201000000112212
4212201101310
510041112110
61000232552
7151554410
oct46412164
921000485
1010097780
115777680
12346b758
132127224
1414abd40
15d46e05
hex9a1474

10097780 has 96 divisors (see below), whose sum is σ = 27095040. Its totient is φ = 3070080.

The previous prime is 10097777. The next prime is 10097783. The reversal of 10097780 is 8779001.

It is an interprime number because it is at equal distance from previous prime (10097777) and next prime (10097783).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10097783) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121619 + ... + 121701.

It is an arithmetic number, because the mean of its divisors is an integer number (282240).

Almost surely, 210097780 is an apocalyptic number.

10097780 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 10097780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13547520).

10097780 is an abundant number, since it is smaller than the sum of its proper divisors (16997260).

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

10097780 is a wasteful number, since it uses less digits than its factorization.

10097780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 32.

The square root of 10097780 is about 3177.7004264090. The cubic root of 10097780 is about 216.1433947248.

The spelling of 10097780 in words is "ten million, ninety-seven thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 79 83 110 140 154 158 166 220 308 316 332 385 395 415 553 581 770 790 830 869 913 1106 1162 1540 1580 1660 1738 1826 2212 2324 2765 2905 3476 3652 4345 4565 5530 5810 6083 6391 6557 8690 9130 11060 11620 12166 12782 13114 17380 18260 24332 25564 26228 30415 31955 32785 45899 60830 63910 65570 72127 91798 121660 127820 131140 144254 183596 229495 288508 360635 458990 504889 721270 917980 1009778 1442540 2019556 2524445 5048890 10097780