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141320970 = 23357233251
BaseRepresentation
bin10000110110001…
…10001100001010
3100211220211221000
420123012030022
5242134232340
622004555430
73334131330
oct1033061412
9324824830
10141320970
117285459a
123b3b2b76
132338069b
1414aa9b50
15c617d30
hex86c630a

141320970 has 128 divisors (see below), whose sum is σ = 449556480. Its totient is φ = 30888000.

The previous prime is 141320953. The next prime is 141320981. The reversal of 141320970 is 79023141.

141320970 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 (27).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41845 + ... + 45095.

It is an arithmetic number, because the mean of its divisors is an integer number (3512160).

Almost surely, 2141320970 is an apocalyptic number.

141320970 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 141320970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224778240).

141320970 is an abundant number, since it is smaller than the sum of its proper divisors (308235510).

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

141320970 is a wasteful number, since it uses less digits than its factorization.

141320970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3297 (or 3291 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 141320970 is about 11887.8496793996. The cubic root of 141320970 is about 520.8774264253.

The spelling of 141320970 in words is "one hundred forty-one million, three hundred twenty thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 23 27 30 35 42 45 46 54 63 69 70 90 105 115 126 135 138 161 189 207 210 230 270 315 322 345 378 414 483 621 630 690 805 945 966 1035 1242 1449 1610 1890 2070 2415 2898 3105 3251 4347 4830 6210 6502 7245 8694 9753 14490 16255 19506 21735 22757 29259 32510 43470 45514 48765 58518 68271 74773 87777 97530 113785 136542 146295 149546 175554 204813 224319 227570 292590 341355 373865 409626 438885 448638 523411 614439 672957 682710 747730 877770 1024065 1046822 1121595 1228878 1345914 1570233 2018871 2048130 2243190 2617055 3072195 3140466 3364785 4037742 4710699 5234110 6144390 6729570 7851165 9421398 10094355 14132097 15702330 20188710 23553495 28264194 47106990 70660485 141320970