Search a number
-
+
10120000 = 26541123
BaseRepresentation
bin100110100110…
…101101000000
3201001011000211
4212212231000
510042320000
61000523504
7152006242
oct46465500
921034024
1010120000
115792340
123480594
132134387
1414b6092
15d4d7ba
hex9a6b40

10120000 has 140 divisors (see below), whose sum is σ = 28565856. Its totient is φ = 3520000.

The previous prime is 10119983. The next prime is 10120021. The reversal of 10120000 is 2101.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 439989 + ... + 440011.

Almost surely, 210120000 is an apocalyptic number.

10120000 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 10120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14282928).

10120000 is an abundant number, since it is smaller than the sum of its proper divisors (18445856).

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

10120000 is an equidigital number, since it uses as much as digits as its factorization.

10120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

The square root of 10120000 is about 3181.1947441174. The cubic root of 10120000 is about 216.3018185821.

Adding to 10120000 its reverse (2101), we get a palindrome (10122101).

The spelling of 10120000 in words is "ten million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 25 32 40 44 46 50 55 64 80 88 92 100 110 115 125 160 176 184 200 220 230 250 253 275 320 352 368 400 440 460 500 506 550 575 625 704 736 800 880 920 1000 1012 1100 1150 1250 1265 1375 1472 1600 1760 1840 2000 2024 2200 2300 2500 2530 2750 2875 3520 3680 4000 4048 4400 4600 5000 5060 5500 5750 6325 6875 7360 8000 8096 8800 9200 10000 10120 11000 11500 12650 13750 14375 16192 17600 18400 20000 20240 22000 23000 25300 27500 28750 31625 36800 40000 40480 44000 46000 50600 55000 57500 63250 80960 88000 92000 101200 110000 115000 126500 158125 184000 202400 220000 230000 253000 316250 404800 440000 460000 506000 632500 920000 1012000 1265000 2024000 2530000 5060000 10120000