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10797640 = 23573787
BaseRepresentation
bin101001001100…
…001001001000
3202022120120121
4221030021020
510231011030
61023233024
7160531000
oct51141110
922276517
1010797640
116105477
123748774
132310949
141611000
15e3447a
hexa4c248

10797640 has 64 divisors (see below), whose sum is σ = 28368000. Its totient is φ = 3697344.

The previous prime is 10797617. The next prime is 10797679. The reversal of 10797640 is 4679701.

It is a junction number, because it is equal to n+sod(n) for n = 10797596 and 10797605.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13327 + ... + 14113.

It is an arithmetic number, because the mean of its divisors is an integer number (443250).

Almost surely, 210797640 is an apocalyptic number.

10797640 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 10797640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14184000).

10797640 is an abundant number, since it is smaller than the sum of its proper divisors (17570360).

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

10797640 is an equidigital number, since it uses as much as digits as its factorization.

10797640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 34.

The square root of 10797640 is about 3285.9762628479. The cubic root of 10797640 is about 221.0257881634.

The spelling of 10797640 in words is "ten million, seven hundred ninety-seven thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 343 392 490 686 787 980 1372 1574 1715 1960 2744 3148 3430 3935 5509 6296 6860 7870 11018 13720 15740 22036 27545 31480 38563 44072 55090 77126 110180 154252 192815 220360 269941 308504 385630 539882 771260 1079764 1349705 1542520 2159528 2699410 5398820 10797640