Search a number
-
+
60139170 = 232572131049
BaseRepresentation
bin1110010101101…
…0011010100010
311012011101102200
43211122122202
5110343423140
65544554030
71330113600
oct345323242
9135141380
1060139170
1130a464a3
1218182916
13c5c8410
147db6870
15542e030
hex395a6a2

60139170 has 144 divisors (see below), whose sum is σ = 196068600. Its totient is φ = 12676608.

The previous prime is 60139159. The next prime is 60139213. The reversal of 60139170 is 7193106.

60139170 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 50083929 + 10055241 = 7077^2 + 3171^2 .

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 71 ways as a sum of consecutive naturals, for example, 56806 + ... + 57854.

Almost surely, 260139170 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60139170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98034300).

60139170 is an abundant number, since it is smaller than the sum of its proper divisors (135929430).

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

60139170 is a wasteful number, since it uses less digits than its factorization.

60139170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 60139170 is about 7754.9448740787. The cubic root of 60139170 is about 391.7892149089.

The spelling of 60139170 in words is "sixty million, one hundred thirty-nine thousand, one hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 49 63 65 70 78 90 91 98 105 117 126 130 147 182 195 210 234 245 273 294 315 390 441 455 490 546 585 630 637 735 819 882 910 1049 1170 1274 1365 1470 1638 1911 2098 2205 2730 3147 3185 3822 4095 4410 5245 5733 6294 6370 7343 8190 9441 9555 10490 11466 13637 14686 15735 18882 19110 22029 27274 28665 31470 36715 40911 44058 47205 51401 57330 66087 68185 73430 81822 94410 95459 102802 110145 122733 132174 136370 154203 190918 204555 220290 245466 257005 286377 308406 330435 409110 462609 477295 514010 572754 613665 660870 668213 771015 859131 925218 954590 1227330 1336426 1431885 1542030 1718262 2004639 2313045 2863770 3341065 4009278 4295655 4626090 6013917 6682130 8591310 10023195 12027834 20046390 30069585 60139170