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141230320 = 245711101227
BaseRepresentation
bin10000110101100…
…00000011110000
3100211202020120121
420122300003300
5242123332240
622003020024
73333303130
oct1032600360
9324666517
10141230320
11727a2480
123b36a614
132334b34a
1414a84ac0
15c5eb04a
hex86b00f0

141230320 has 160 divisors (see below), whose sum is σ = 415259136. Its totient is φ = 43392000.

The previous prime is 141230317. The next prime is 141230321. The reversal of 141230320 is 23032141.

It is a happy number.

141230320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 141230294 and 141230303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141230321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 622047 + ... + 622273.

Almost surely, 2141230320 is an apocalyptic number.

141230320 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 141230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207629568).

141230320 is an abundant number, since it is smaller than the sum of its proper divisors (274028816).

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

141230320 is a wasteful number, since it uses less digits than its factorization.

141230320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 141230320 is about 11884.0363513412. The cubic root of 141230320 is about 520.7660307417.

Adding to 141230320 its reverse (23032141), we get a palindrome (164262461).

The spelling of 141230320 in words is "one hundred forty-one million, two hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 101 110 112 140 154 176 202 220 227 280 308 385 404 440 454 505 560 616 707 770 808 880 908 1010 1111 1135 1232 1414 1540 1589 1616 1816 2020 2222 2270 2497 2828 3080 3178 3535 3632 4040 4444 4540 4994 5555 5656 6160 6356 7070 7777 7945 8080 8888 9080 9988 11110 11312 12485 12712 14140 15554 15890 17479 17776 18160 19976 22220 22927 24970 25424 28280 31108 31780 34958 38885 39952 44440 45854 49940 56560 62216 63560 69916 77770 87395 88880 91708 99880 114635 124432 127120 139832 155540 160489 174790 183416 199760 229270 252197 279664 311080 320978 349580 366832 458540 504394 622160 641956 699160 802445 917080 1008788 1260985 1283912 1398320 1604890 1765379 1834160 2017576 2521970 2567824 3209780 3530758 4035152 5043940 6419560 7061516 8826895 10087880 12839120 14123032 17653790 20175760 28246064 35307580 70615160 141230320