Search a number
-
+
161851620 = 22357312401
BaseRepresentation
bin10011010010110…
…10100011100100
3102021112220200110
421221122203210
5312413222440
624021013020
74003500420
oct1151324344
9367486613
10161851620
11833a7577
1246254170
13276bb4b8
14176d1b80
15e321080
hex9a5a8e4

161851620 has 144 divisors (see below), whose sum is σ = 536505984. Its totient is φ = 35712000.

The previous prime is 161851607. The next prime is 161851631. The reversal of 161851620 is 26158161.

161851620 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 403420 + ... + 403820.

It is an arithmetic number, because the mean of its divisors is an integer number (3725736).

Almost surely, 2161851620 is an apocalyptic number.

161851620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161851620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268252992).

161851620 is an abundant number, since it is smaller than the sum of its proper divisors (374654364).

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

161851620 is a wasteful number, since it uses less digits than its factorization.

161851620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 161851620 is about 12722.0918091326. The cubic root of 161851620 is about 544.9696922236.

The spelling of 161851620 in words is "one hundred sixty-one million, eight hundred fifty-one thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 31 35 42 60 62 70 84 93 105 124 140 155 186 210 217 310 372 401 420 434 465 620 651 802 868 930 961 1085 1203 1302 1604 1860 1922 2005 2170 2406 2604 2807 2883 3255 3844 4010 4340 4805 4812 5614 5766 6015 6510 6727 8020 8421 9610 11228 11532 12030 12431 13020 13454 14035 14415 16842 19220 20181 24060 24862 26908 28070 28830 33635 33684 37293 40362 42105 49724 56140 57660 62155 67270 74586 80724 84210 87017 100905 124310 134540 149172 168420 174034 186465 201810 248620 261051 348068 372930 385361 403620 435085 522102 745860 770722 870170 1044204 1156083 1305255 1541444 1740340 1926805 2312166 2610510 2697527 3853610 4624332 5221020 5395054 5780415 7707220 8092581 10790108 11560830 13487635 16185162 23121660 26975270 32370324 40462905 53950540 80925810 161851620