Search a number
-
+
10794240 = 28325937
BaseRepresentation
bin101001001011…
…010100000000
3202022101220200
4221023110000
510230403430
61023205200
7160515042
oct51132400
922271820
1010794240
116102966
123746800
13230c232
14160da92
15e33460
hexa4b500

10794240 has 108 divisors (see below), whose sum is σ = 37386804. Its totient is φ = 2875392.

The previous prime is 10794229. The next prime is 10794253. The reversal of 10794240 is 4249701.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1937664 + 8856576 = 1392^2 + 2976^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11052 + ... + 11988.

Almost surely, 210794240 is an apocalyptic number.

10794240 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 10794240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18693402).

10794240 is an abundant number, since it is smaller than the sum of its proper divisors (26592564).

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

10794240 is an equidigital number, since it uses as much as digits as its factorization.

10794240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 10794240 is about 3285.4588720603. The cubic root of 10794240 is about 221.0025865944.

The spelling of 10794240 in words is "ten million, seven hundred ninety-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 937 960 1152 1280 1440 1874 1920 2304 2811 2880 3748 3840 4685 5622 5760 7496 8433 9370 11244 11520 14055 14992 16866 18740 22488 28110 29984 33732 37480 42165 44976 56220 59968 67464 74960 84330 89952 112440 119936 134928 149920 168660 179904 224880 239872 269856 299840 337320 359808 449760 539712 599680 674640 719616 899520 1079424 1199360 1349280 1799040 2158848 2698560 3598080 5397120 10794240