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141135020 = 225131737863
BaseRepresentation
bin10000110100110…
…00110010101100
3100211120101211222
420122120302230
5242112310040
622001002512
73332425235
oct1032306254
9324511758
10141135020
1172737914
123b323438
1323316b60
1414a5c08c
15c5ccbb5
hex8698cac

141135020 has 96 divisors (see below), whose sum is σ = 347493888. Its totient is φ = 47665152.

The previous prime is 141135013. The next prime is 141135023. The reversal of 141135020 is 20531141.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 141135020.

It is not an unprimeable number, because it can be changed into a prime (141135023) 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, 163109 + ... + 163971.

It is an arithmetic number, because the mean of its divisors is an integer number (3619728).

Almost surely, 2141135020 is an apocalyptic number.

141135020 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 141135020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173746944).

141135020 is an abundant number, since it is smaller than the sum of its proper divisors (206358868).

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

141135020 is a wasteful number, since it uses less digits than its factorization.

141135020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 141135020 is about 11880.0260942474. The cubic root of 141135020 is about 520.6488694743.

Adding to 141135020 its reverse (20531141), we get a palindrome (161666161).

The spelling of 141135020 in words is "one hundred forty-one million, one hundred thirty-five thousand, twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 37 52 65 68 74 85 130 148 170 185 221 260 340 370 442 481 629 740 863 884 962 1105 1258 1726 1924 2210 2405 2516 3145 3452 4315 4420 4810 6290 8177 8630 9620 11219 12580 14671 16354 17260 22438 29342 31931 32708 40885 44876 56095 58684 63862 73355 81770 112190 127724 146710 159655 163540 190723 224380 293420 319310 381446 415103 542827 638620 762892 830206 953615 1085654 1660412 1907230 2075515 2171308 2714135 3814460 4151030 5428270 7056751 8302060 10856540 14113502 28227004 35283755 70567510 141135020