Search a number
-
+
1601102070 = 232519412557
BaseRepresentation
bin101111101101110…
…1110000011110110
311010120202102010200
41133123232003312
511234340231240
6422513101330
754451100031
oct13733560366
94116672120
101601102070
11751864757
12388257846
131c6930599
14112900018
159586a930
hex5f6ee0f6

1601102070 has 144 divisors (see below), whose sum is σ = 4499511120. Its totient is φ = 393914880.

The previous prime is 1601102039. The next prime is 1601102071. The reversal of 1601102070 is 702011061.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1601102071) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2874232 + ... + 2874788.

It is an arithmetic number, because the mean of its divisors is an integer number (31246605).

Almost surely, 21601102070 is an apocalyptic number.

1601102070 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 1601102070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2249755560).

1601102070 is an abundant number, since it is smaller than the sum of its proper divisors (2898409050).

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

1601102070 is a wasteful number, since it uses less digits than its factorization.

1601102070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 1601102070 is about 40013.7735036325. The cubic root of 1601102070 is about 1169.8755730050.

The spelling of 1601102070 in words is "one billion, six hundred one million, one hundred two thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 41 45 57 82 90 95 114 123 171 190 205 246 285 342 369 410 557 570 615 738 779 855 1114 1230 1558 1671 1681 1710 1845 2337 2785 3342 3362 3690 3895 4674 5013 5043 5570 7011 7790 8355 8405 10026 10086 10583 11685 14022 15129 16710 16810 21166 22837 23370 25065 25215 30258 31749 31939 35055 45674 50130 50430 52915 63498 63878 68511 70110 75645 95247 95817 105830 114185 137022 151290 158745 159695 190494 191634 205533 228370 287451 317490 319390 342555 411066 433903 476235 479085 574902 685110 867806 936317 952470 958170 1027665 1301709 1437255 1872634 2055330 2169515 2603418 2808951 2874510 3905127 4339030 4681585 5617902 6508545 7810254 8426853 9363170 13017090 14044755 16853706 17790023 19525635 28089510 35580046 39051270 42134265 53370069 84268530 88950115 106740138 160110207 177900230 266850345 320220414 533700690 800551035 1601102070