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10720380 = 22351137439
BaseRepresentation
bin101000111001…
…010001111100
3202011122121010
4220321101330
510221023010
61021435220
7160056516
oct50712174
922148533
1010720380
116062420
12370bb10
1322b4728
1415d0bb6
15e1b620
hexa3947c

10720380 has 96 divisors (see below), whose sum is σ = 33707520. Its totient is φ = 2522880.

The previous prime is 10720357. The next prime is 10720399. The reversal of 10720380 is 8302701.

10720380 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×107203802 = 229853094688800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24201 + ... + 24639.

It is an arithmetic number, because the mean of its divisors is an integer number (351120).

Almost surely, 210720380 is an apocalyptic number.

10720380 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 10720380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16853760).

10720380 is an abundant number, since it is smaller than the sum of its proper divisors (22987140).

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

10720380 is a wasteful number, since it uses less digits than its factorization.

10720380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 10720380 is about 3274.1991387208. The cubic root of 10720380 is about 220.4973596076.

The spelling of 10720380 in words is "ten million, seven hundred twenty thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 37 44 55 60 66 74 110 111 132 148 165 185 220 222 330 370 407 439 444 555 660 740 814 878 1110 1221 1317 1628 1756 2035 2195 2220 2442 2634 4070 4390 4829 4884 5268 6105 6585 8140 8780 9658 12210 13170 14487 16243 19316 24145 24420 26340 28974 32486 48290 48729 57948 64972 72435 81215 96580 97458 144870 162430 178673 194916 243645 289740 324860 357346 487290 536019 714692 893365 974580 1072038 1786730 2144076 2680095 3573460 5360190 10720380