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10120350 = 2352195367
BaseRepresentation
bin100110100110…
…110010011110
3201001011111210
4212212302132
510042322400
61000525250
7152010252
oct46466236
921034453
1010120350
115792629
123480826
132134596
1414b6262
15d4d950
hex9a6c9e

10120350 has 96 divisors (see below), whose sum is σ = 27319680. Its totient is φ = 2471040.

The previous prime is 10120349. The next prime is 10120361. The reversal of 10120350 is 5302101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151017 + ... + 151083.

It is an arithmetic number, because the mean of its divisors is an integer number (284580).

Almost surely, 210120350 is an apocalyptic number.

10120350 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 10120350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13659840).

10120350 is an abundant number, since it is smaller than the sum of its proper divisors (17199330).

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

10120350 is a wasteful number, since it uses less digits than its factorization.

10120350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 10120350 is about 3181.2497544204. The cubic root of 10120350 is about 216.3043121514.

Adding to 10120350 its reverse (5302101), we get a palindrome (15422451).

The spelling of 10120350 in words is "ten million, one hundred twenty thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 53 57 67 75 95 106 114 134 150 159 190 201 265 285 318 335 402 475 530 570 670 795 950 1005 1007 1273 1325 1425 1590 1675 2010 2014 2546 2650 2850 3021 3350 3551 3819 3975 5025 5035 6042 6365 7102 7638 7950 10050 10070 10653 12730 15105 17755 19095 21306 25175 30210 31825 35510 38190 50350 53265 63650 67469 75525 88775 95475 106530 134938 151050 177550 190950 202407 266325 337345 404814 532650 674690 1012035 1686725 2024070 3373450 5060175 10120350