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141005020 = 22513975591
BaseRepresentation
bin10000110011110…
…01000011011100
3100211022210112011
420121321003130
5242044130040
621554121004
73331344232
oct1031710334
9324283464
10141005020
1172659182
123b280164
132329c930
1414a26952
15c5a43ea
hex86790dc

141005020 has 48 divisors (see below), whose sum is σ = 322233408. Its totient is φ = 51517440.

The previous prime is 141005017. The next prime is 141005071. The reversal of 141005020 is 20500141.

It is a Harshad number since it is a multiple of its sum of digits (13).

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 15 ways as a sum of consecutive naturals, for example, 22425 + ... + 28015.

It is an arithmetic number, because the mean of its divisors is an integer number (6713196).

Almost surely, 2141005020 is an apocalyptic number.

141005020 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 141005020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161116704).

141005020 is an abundant number, since it is smaller than the sum of its proper divisors (181228388).

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

141005020 is a wasteful number, since it uses less digits than its factorization.

141005020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5710 (or 5708 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 141005020 is about 11874.5534652887. The cubic root of 141005020 is about 520.4889631540.

Adding to 141005020 its reverse (20500141), we get a palindrome (161505161).

The spelling of 141005020 in words is "one hundred forty-one million, five thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 97 130 194 260 388 485 970 1261 1940 2522 5044 5591 6305 11182 12610 22364 25220 27955 55910 72683 111820 145366 290732 363415 542327 726830 1084654 1453660 2169308 2711635 5423270 7050251 10846540 14100502 28201004 35251255 70502510 141005020