Search a number
-
+
10730370 = 2357371381
BaseRepresentation
bin101000111011…
…101110000010
3202012011022010
4220323232002
510221332440
61021553350
7160130610
oct50735602
922164263
1010730370
116069982
123715856
1322b9141
1415d46b0
15e1e580
hexa3bb82

10730370 has 64 divisors (see below), whose sum is σ = 30249216. Its totient is φ = 2384640.

The previous prime is 10730353. The next prime is 10730381. The reversal of 10730370 is 7303701.

10730370 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 7080 + ... + 8460.

It is an arithmetic number, because the mean of its divisors is an integer number (472644).

Almost surely, 210730370 is an apocalyptic number.

10730370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10730370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15124608).

10730370 is an abundant number, since it is smaller than the sum of its proper divisors (19518846).

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

10730370 is a wasteful number, since it uses less digits than its factorization.

10730370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1435.

The product of its (nonzero) digits is 441, while the sum is 21.

The square root of 10730370 is about 3275.7243473772. The cubic root of 10730370 is about 220.5658299649.

The spelling of 10730370 in words is "ten million, seven hundred thirty thousand, three hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 37 42 70 74 105 111 185 210 222 259 370 518 555 777 1110 1295 1381 1554 2590 2762 3885 4143 6905 7770 8286 9667 13810 19334 20715 29001 41430 48335 51097 58002 96670 102194 145005 153291 255485 290010 306582 357679 510970 715358 766455 1073037 1532910 1788395 2146074 3576790 5365185 10730370