Search a number
-
+
10793340 = 2232561983
BaseRepresentation
bin101001001011…
…000101111100
3202022100200100
4221023011330
510230341330
61023201100
7160512315
oct51130574
922270610
1010793340
116102218
123746190
13230b9bc
14160d60c
15e33060
hexa4b17c

10793340 has 72 divisors (see below), whose sum is σ = 33310368. Its totient is φ = 2828160.

The previous prime is 10793339. The next prime is 10793347. The reversal of 10793340 is 4339701.

10793340 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (10793347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10489 + ... + 11471.

It is an arithmetic number, because the mean of its divisors is an integer number (462644).

Almost surely, 210793340 is an apocalyptic number.

10793340 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 10793340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16655184).

10793340 is an abundant number, since it is smaller than the sum of its proper divisors (22517028).

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

10793340 is a wasteful number, since it uses less digits than its factorization.

10793340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 10793340 is about 3285.3219020364. The cubic root of 10793340 is about 220.9964441870.

The spelling of 10793340 in words is "ten million, seven hundred ninety-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 610 732 915 983 1098 1220 1830 1966 2196 2745 2949 3660 3932 4915 5490 5898 8847 9830 10980 11796 14745 17694 19660 29490 35388 44235 58980 59963 88470 119926 176940 179889 239852 299815 359778 539667 599630 719556 899445 1079334 1199260 1798890 2158668 2698335 3597780 5396670 10793340