[go: up one dir, main page]

Search a number
-
+
10501120 = 21057293
BaseRepresentation
bin101000000011…
…110000000000
3201202111211101
4220003300000
510142013440
61013024144
7155154340
oct50036000
921674741
1010501120
115a22713
123625054
1322389a6
141574d20
15dc669a
hexa03c00

10501120 has 88 divisors (see below), whose sum is σ = 28887264. Its totient is φ = 3588096.

The previous prime is 10501079. The next prime is 10501147. The reversal of 10501120 is 2110501.

It is a happy number.

It is a super-2 number, since 2×105011202 = 220547042508800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 10501097 and 10501106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35694 + ... + 35986.

Almost surely, 210501120 is an apocalyptic number.

10501120 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 10501120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14443632).

10501120 is an abundant number, since it is smaller than the sum of its proper divisors (18386144).

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

10501120 is an equidigital number, since it uses as much as digits as its factorization.

10501120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 10.

The square root of 10501120 is about 3240.5431643476. The cubic root of 10501120 is about 218.9837425294.

Adding to 10501120 its reverse (2110501), we get a palindrome (12611621).

The spelling of 10501120 in words is "ten million, five hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 293 320 448 512 560 586 640 896 1024 1120 1172 1280 1465 1792 2051 2240 2344 2560 2930 3584 4102 4480 4688 5120 5860 7168 8204 8960 9376 10255 11720 16408 17920 18752 20510 23440 32816 35840 37504 41020 46880 65632 75008 82040 93760 131264 150016 164080 187520 262528 300032 328160 375040 525056 656320 750080 1050112 1312640 1500160 2100224 2625280 5250560 10501120