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10297680 = 2435107401
BaseRepresentation
bin100111010010…
…000101010000
3201101011202120
4213102011100
510114011210
61004414240
7153346251
oct47220520
921334676
1010297680
1158a3888
123547380
132197203
141520b28
15d86270
hex9d2150

10297680 has 80 divisors (see below), whose sum is σ = 32301504. Its totient is φ = 2713600.

The previous prime is 10297669. The next prime is 10297687. The reversal of 10297680 is 8679201.

It is a Cunningham number, because it is equal to 32092-1.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10297687) 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, 25480 + ... + 25880.

Almost surely, 210297680 is an apocalyptic number.

10297680 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 10297680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16150752).

10297680 is an abundant number, since it is smaller than the sum of its proper divisors (22003824).

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

10297680 is a wasteful number, since it uses less digits than its factorization.

10297680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 10297680 is about 3208.9998441882. Note that the first 3 decimals coincide. The cubic root of 10297680 is about 217.5603743084.

The spelling of 10297680 in words is "ten million, two hundred ninety-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 107 120 214 240 321 401 428 535 642 802 856 1070 1203 1284 1604 1605 1712 2005 2140 2406 2568 3208 3210 4010 4280 4812 5136 6015 6416 6420 8020 8560 9624 12030 12840 16040 19248 24060 25680 32080 42907 48120 85814 96240 128721 171628 214535 257442 343256 429070 514884 643605 686512 858140 1029768 1287210 1716280 2059536 2574420 3432560 5148840 10297680