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141629670 = 232571317293
BaseRepresentation
bin10000111000100…
…01100011100110
3100212111112101100
420130101203212
5242224122140
622015340530
73336555330
oct1034214346
9325445340
10141629670
1172a45516
123b521746
132345b050
1414b4a450
15c679530
hex87118e6

141629670 has 96 divisors (see below), whose sum is σ = 453241152. Its totient is φ = 29880576.

The previous prime is 141629639. The next prime is 141629687. The reversal of 141629670 is 76926141.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 457 + ... + 16836.

It is an arithmetic number, because the mean of its divisors is an integer number (4721262).

Almost surely, 2141629670 is an apocalyptic number.

141629670 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 141629670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226620576).

141629670 is an abundant number, since it is smaller than the sum of its proper divisors (311611482).

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

141629670 is a wasteful number, since it uses less digits than its factorization.

141629670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17326 (or 17323 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 141629670 is about 11900.8264418905. The cubic root of 141629670 is about 521.2564169457.

It can be divided in two parts, 14162 and 9670, that added together give a palindrome (23832).

The spelling of 141629670 in words is "one hundred forty-one million, six hundred twenty-nine thousand, six hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 63 65 70 78 90 91 105 117 126 130 182 195 210 234 273 315 390 455 546 585 630 819 910 1170 1365 1638 2730 4095 8190 17293 34586 51879 86465 103758 121051 155637 172930 224809 242102 259395 311274 363153 449618 518790 605255 674427 726306 778185 1089459 1124045 1210510 1348854 1556370 1573663 1815765 2023281 2178918 2248090 3147326 3372135 3631530 4046562 4720989 5447295 6744270 7868315 9441978 10116405 10894590 14162967 15736630 20232810 23604945 28325934 47209890 70814835 141629670