Search a number
-
+
1220786070 = 235741711997
BaseRepresentation
bin100100011000011…
…1011011110010110
310011002010100122220
41020300323132112
510000010123240
6321045403210
742152340030
oct11060733626
93132110586
101220786070
11577113709
122a0a09506
13165bc162a
14b81c0c50
15722945d0
hex48c3b796

1220786070 has 128 divisors (see below), whose sum is σ = 3480164352. Its totient is φ = 268262400.

The previous prime is 1220786069. The next prime is 1220786089. The reversal of 1220786070 is 706870221.

1220786070 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

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, 610312 + ... + 612308.

It is an arithmetic number, because the mean of its divisors is an integer number (27188784).

Almost surely, 21220786070 is an apocalyptic number.

1220786070 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 1220786070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740082176).

1220786070 is an abundant number, since it is smaller than the sum of its proper divisors (2259378282).

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

1220786070 is a wasteful number, since it uses less digits than its factorization.

1220786070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2126.

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 1220786070 is about 34939.7491404847. The cubic root of 1220786070 is about 1068.7591724530.

The spelling of 1220786070 in words is "one billion, two hundred twenty million, seven hundred eighty-six thousand, seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 41 42 70 71 82 105 123 142 205 210 213 246 287 355 410 426 497 574 615 710 861 994 1065 1230 1435 1491 1722 1997 2130 2485 2870 2911 2982 3994 4305 4970 5822 5991 7455 8610 8733 9985 11982 13979 14555 14910 17466 19970 20377 27958 29110 29955 40754 41937 43665 59910 61131 69895 81877 83874 87330 101885 122262 139790 141787 163754 203770 209685 245631 283574 305655 409385 419370 425361 491262 573139 611310 708935 818770 850722 992509 1146278 1228155 1417870 1719417 1985018 2126805 2456310 2865695 2977527 3438834 4253610 4962545 5731390 5813267 5955054 8597085 9925090 11626534 14887635 17194170 17439801 29066335 29775270 34879602 40692869 58132670 81385738 87199005 122078607 174398010 203464345 244157214 406928690 610393035 1220786070