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142117690 = 2511132329149
BaseRepresentation
bin10000111100010…
…00101100111010
3100220102022211011
420132020230322
5242340231230
622034024134
73343660201
oct1036105472
9326368734
10142117690
1173249140
123b71804a
132359c210
1414c36238
15c723e2a
hex8788b3a

142117690 has 128 divisors (see below), whose sum is σ = 326592000. Its totient is φ = 43760640.

The previous prime is 142117681. The next prime is 142117691. The reversal of 142117690 is 96711241.

142117690 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1421176902 = 40394875621872200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (142117691) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 953736 + ... + 953884.

It is an arithmetic number, because the mean of its divisors is an integer number (2551500).

Almost surely, 2142117690 is an apocalyptic number.

142117690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

142117690 is the 7540-th heptagonal number.

142117690 is an abundant number, since it is smaller than the sum of its proper divisors (184474310).

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

142117690 is a wasteful number, since it uses less digits than its factorization.

142117690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232.

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 142117690 is about 11921.3124277489. The cubic root of 142117690 is about 521.8544364948.

The spelling of 142117690 in words is "one hundred forty-two million, one hundred seventeen thousand, six hundred ninety".

Divisors: 1 2 5 10 11 13 22 23 26 29 46 55 58 65 110 115 130 143 145 149 230 253 286 290 298 299 319 377 506 598 638 667 715 745 754 1265 1334 1430 1490 1495 1595 1639 1885 1937 2530 2990 3190 3278 3289 3335 3427 3770 3874 4147 4321 6578 6670 6854 7337 8195 8294 8642 8671 9685 14674 16390 16445 17135 17342 19370 20735 21307 21605 32890 34270 36685 37697 41470 42614 43210 43355 44551 47531 56173 73370 75394 86710 89102 95062 95381 99383 106535 112346 188485 190762 198766 213070 222755 237655 280865 376970 445510 475310 476905 490061 496915 561730 617903 953810 980122 993830 1093213 1235806 1291979 2186426 2450305 2583958 3089515 4900610 5466065 6179030 6459895 10932130 12919790 14211769 28423538 71058845 142117690