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141072030 = 23451171223
BaseRepresentation
bin10000110100010…
…01011010011110
3100211110012110000
420122021122132
5242103301110
621555355130
73332043501
oct1032113236
9324405400
10141072030
11726a4560
123b2b2aa6
13232c4298
1414a43138
15c5b91c0
hex868969e

141072030 has 160 divisors (see below), whose sum is σ = 421521408. Its totient is φ = 33566400.

The previous prime is 141072023. The next prime is 141072049. The reversal of 141072030 is 30270141.

141072030 = T54 + T55 + ... + T945.

141072030 = 4452 + 4462 + ... + 7992.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 141071994 and 141072012.

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 79 ways as a sum of consecutive naturals, for example, 632499 + ... + 632721.

Almost surely, 2141072030 is an apocalyptic number.

141072030 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 141072030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210760704).

141072030 is an abundant number, since it is smaller than the sum of its proper divisors (280449378).

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

141072030 is a wasteful number, since it uses less digits than its factorization.

141072030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 141072030 is about 11877.3747099264. The cubic root of 141072030 is about 520.5714009799.

The spelling of 141072030 in words is "one hundred forty-one million, seventy-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 71 81 90 99 110 135 142 162 165 198 213 223 270 297 330 355 405 426 446 495 594 639 669 710 781 810 891 990 1065 1115 1278 1338 1485 1562 1782 1917 2007 2130 2230 2343 2453 2970 3195 3345 3834 3905 4014 4455 4686 4906 5751 6021 6390 6690 7029 7359 7810 8910 9585 10035 11502 11715 12042 12265 14058 14718 15833 18063 19170 20070 21087 22077 23430 24530 28755 30105 31666 35145 36126 36795 42174 44154 47499 57510 60210 63261 66231 70290 73590 79165 90315 94998 105435 110385 126522 132462 142497 158330 174163 180630 198693 210870 220770 237495 284994 316305 331155 348326 397386 427491 474990 522489 632610 662310 712485 854982 870815 993465 1044978 1282473 1424970 1567467 1741630 1986930 2137455 2564946 2612445 3134934 4274910 4702401 5224890 6412365 7837335 9404802 12824730 14107203 15674670 23512005 28214406 47024010 70536015 141072030