Search a number
-
+
129777390 = 2345533023
BaseRepresentation
bin1111011110000…
…11111011101110
3100001012101010000
413233003323232
5231210334030
620513325130
73134042511
oct757037356
9301171100
10129777390
116728a746
12375667a6
1320b6b372
1413342d78
15b5d7860
hex7bc3eee

129777390 has 80 divisors (see below), whose sum is σ = 355658688. Its totient is φ = 33943104.

The previous prime is 129777379. The next prime is 129777409. The reversal of 129777390 is 93777921.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41419 + ... + 44441.

Almost surely, 2129777390 is an apocalyptic number.

129777390 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 129777390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177829344).

129777390 is an abundant number, since it is smaller than the sum of its proper divisors (225881298).

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

129777390 is a wasteful number, since it uses less digits than its factorization.

129777390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3095 (or 3086 counting only the distinct ones).

The product of its (nonzero) digits is 166698, while the sum is 45.

The square root of 129777390 is about 11391.9879740105. The cubic root of 129777390 is about 506.2903836098.

It can be divided in two parts, 1297 and 77390, that added together give a palindrome (78687).

The spelling of 129777390 in words is "one hundred twenty-nine million, seven hundred seventy-seven thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 53 54 81 90 106 135 159 162 265 270 318 405 477 530 795 810 954 1431 1590 2385 2862 3023 4293 4770 6046 7155 8586 9069 14310 15115 18138 21465 27207 30230 42930 45345 54414 81621 90690 136035 160219 163242 244863 272070 320438 408105 480657 489726 801095 816210 961314 1224315 1441971 1602190 2403285 2448630 2883942 4325913 4806570 7209855 8651826 12977739 14419710 21629565 25955478 43259130 64888695 129777390