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10145070 = 23251322329
BaseRepresentation
bin100110101100…
…110100101110
3201002102102100
4212230310232
510044120240
61001235530
7152142315
oct46546456
921072370
1010145070
1157aa161
123492ba6
132142900
1414c127c
15d55e30
hex9acd2e

10145070 has 144 divisors (see below), whose sum is σ = 30831840. Its totient is φ = 2306304.

The previous prime is 10145063. The next prime is 10145071. The reversal of 10145070 is 7054101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10145071) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 349816 + ... + 349844.

It is an arithmetic number, because the mean of its divisors is an integer number (214110).

Almost surely, 210145070 is an apocalyptic number.

10145070 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 10145070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15415920).

10145070 is an abundant number, since it is smaller than the sum of its proper divisors (20686770).

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

10145070 is a wasteful number, since it uses less digits than its factorization.

10145070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 10145070 is about 3185.1326502989. The cubic root of 10145070 is about 216.4802841592.

Adding to 10145070 its reverse (7054101), we get a palindrome (17199171).

It can be divided in two parts, 1014 and 5070, that added together give a square (6084 = 782).

The spelling of 10145070 in words is "ten million, one hundred forty-five thousand, seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 23 26 29 30 39 45 46 58 65 69 78 87 90 115 117 130 138 145 169 174 195 207 230 234 261 290 299 338 345 377 390 414 435 507 522 585 598 667 690 754 845 870 897 1014 1035 1131 1170 1305 1334 1495 1521 1690 1794 1885 2001 2070 2262 2535 2610 2691 2990 3042 3335 3393 3770 3887 4002 4485 4901 5070 5382 5655 6003 6670 6786 7605 7774 8671 8970 9802 10005 11310 11661 12006 13455 14703 15210 16965 17342 19435 20010 23322 24505 26013 26910 29406 30015 33930 34983 38870 43355 44109 49010 52026 58305 60030 69966 73515 78039 86710 88218 112723 116610 130065 147030 156078 174915 220545 225446 260130 338169 349830 390195 441090 563615 676338 780390 1014507 1127230 1690845 2029014 3381690 5072535 10145070