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141265020 = 223513612969
BaseRepresentation
bin10000110101110…
…00100001111100
3100211211000011210
420122320201330
5242130440040
622003444420
73333506241
oct1032704174
9324730153
10141265020
1172816556
123b386710
1323361090
1414a935c8
15c606480
hex86b887c

141265020 has 96 divisors (see below), whose sum is σ = 433097280. Its totient is φ = 34191360.

The previous prime is 141265009. The next prime is 141265031. The reversal of 141265020 is 20562141.

It is an interprime number because it is at equal distance from previous prime (141265009) and next prime (141265031).

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 31 ways as a sum of consecutive naturals, for example, 46096 + ... + 49064.

It is an arithmetic number, because the mean of its divisors is an integer number (4511430).

Almost surely, 2141265020 is an apocalyptic number.

141265020 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 141265020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216548640).

141265020 is an abundant number, since it is smaller than the sum of its proper divisors (291832260).

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

141265020 is a wasteful number, since it uses less digits than its factorization.

141265020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3055 (or 3053 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 141265020 is about 11885.4962033564. The cubic root of 141265020 is about 520.8086776311.

The spelling of 141265020 in words is "one hundred forty-one million, two hundred sixty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 61 65 78 122 130 156 183 195 244 260 305 366 390 610 732 780 793 915 1220 1586 1830 2379 2969 3172 3660 3965 4758 5938 7930 8907 9516 11876 11895 14845 15860 17814 23790 29690 35628 38597 44535 47580 59380 77194 89070 115791 154388 178140 181109 192985 231582 362218 385970 463164 543327 578955 724436 771940 905545 1086654 1157910 1811090 2173308 2315820 2354417 2716635 3622180 4708834 5433270 7063251 9417668 10866540 11772085 14126502 23544170 28253004 35316255 47088340 70632510 141265020