Search a number
-
+
146195070 = 235717311321
BaseRepresentation
bin10001011011011…
…00001001111110
3101012002110221020
420231230021332
5244411220240
622301245010
73423431460
oct1055541176
9335073836
10146195070
117558357a
1240b63766
1324399078
14155b8130
15cc7c0d0
hex8b6c27e

146195070 has 128 divisors (see below), whose sum is σ = 438607872. Its totient is φ = 30412800.

The previous prime is 146195059. The next prime is 146195099. The reversal of 146195070 is 70591641.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 110010 + ... + 111330.

It is an arithmetic number, because the mean of its divisors is an integer number (3426624).

Almost surely, 2146195070 is an apocalyptic number.

146195070 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 146195070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219303936).

146195070 is an abundant number, since it is smaller than the sum of its proper divisors (292412802).

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

146195070 is a wasteful number, since it uses less digits than its factorization.

146195070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386.

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 146195070 is about 12091.1153331692. The cubic root of 146195070 is about 526.7981516682.

The spelling of 146195070 in words is "one hundred forty-six million, one hundred ninety-five thousand, seventy".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 31 34 35 42 51 62 70 85 93 102 105 119 155 170 186 210 217 238 255 310 357 434 465 510 527 595 651 714 930 1054 1085 1190 1302 1321 1581 1785 2170 2635 2642 3162 3255 3570 3689 3963 5270 6510 6605 7378 7905 7926 9247 11067 13210 15810 18445 18494 19815 22134 22457 27741 36890 39630 40951 44914 46235 55335 55482 67371 81902 92470 110670 112285 122853 134742 138705 157199 204755 224570 245706 277410 286657 314398 336855 409510 471597 573314 614265 673710 696167 785995 859971 943194 1228530 1392334 1433285 1571990 1719942 2088501 2357985 2866570 3480835 4177002 4299855 4715970 4873169 6961670 8599710 9746338 10442505 14619507 20885010 24365845 29239014 48731690 73097535 146195070