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129206070 = 23357137499
BaseRepresentation
bin1111011001110…
…00011100110110
3100000010100102000
413230320130312
5231034043240
620453200130
73126143040
oct754703466
9300110360
10129206070
1166a2a484
1237330046
13209cb2c6
1413234a90
15b523430
hex7b38736

129206070 has 128 divisors (see below), whose sum is σ = 397440000. Its totient is φ = 29258496.

The previous prime is 129206059. The next prime is 129206071. The reversal of 129206070 is 70602921.

129206070 = T239 + T240 + ... + T923.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129206071) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 258681 + ... + 259179.

It is an arithmetic number, because the mean of its divisors is an integer number (3105000).

Almost surely, 2129206070 is an apocalyptic number.

129206070 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 129206070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198720000).

129206070 is an abundant number, since it is smaller than the sum of its proper divisors (268233930).

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

129206070 is a wasteful number, since it uses less digits than its factorization.

129206070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 653 counting only the distinct ones).

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

The square root of 129206070 is about 11366.8847975160. The cubic root of 129206070 is about 505.5463420255.

Adding to 129206070 its reverse (70602921), we get a palindrome (199808991).

The spelling of 129206070 in words is "one hundred twenty-nine million, two hundred six thousand, seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 137 189 210 270 274 315 378 411 499 630 685 822 945 959 998 1233 1370 1497 1890 1918 2055 2466 2495 2877 2994 3493 3699 4110 4491 4795 4990 5754 6165 6986 7398 7485 8631 8982 9590 10479 12330 13473 14385 14970 17262 17465 18495 20958 22455 25893 26946 28770 31437 34930 36990 43155 44910 51786 52395 62874 67365 68363 86310 94311 104790 129465 134730 136726 157185 188622 205089 258930 314370 341815 410178 471555 478541 615267 683630 943110 957082 1025445 1230534 1435623 1845801 2050890 2392705 2871246 3076335 3691602 4306869 4785410 6152670 7178115 8613738 9229005 12920607 14356230 18458010 21534345 25841214 43068690 64603035 129206070