Search a number
-
+
3162381920 = 255312131157
BaseRepresentation
bin1011110001111110…
…0001111001100000
322011101120122110022
42330133201321200
522434032210140
61241444453012
7141236542235
oct27437417140
98141518408
103162381920
11138309a385
127430aa168
133b522a209
1421ddd578c
1513796c0b5
hexbc7e1e60

3162381920 has 144 divisors (see below), whose sum is σ = 7828383024. Its totient is φ = 1207065600.

The previous prime is 3162381919. The next prime is 3162381967. The reversal of 3162381920 is 291832613.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20142482 + ... + 20142638.

It is an arithmetic number, because the mean of its divisors is an integer number (54363771).

Almost surely, 23162381920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3162381920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3914191512).

3162381920 is an abundant number, since it is smaller than the sum of its proper divisors (4666001104).

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

3162381920 is a wasteful number, since it uses less digits than its factorization.

3162381920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 3162381920 is about 56235.0595269535. The cubic root of 3162381920 is about 1467.8153984871.

The spelling of 3162381920 in words is "three billion, one hundred sixty-two million, three hundred eighty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 131 155 157 160 248 262 310 314 496 524 620 628 655 785 961 992 1048 1240 1256 1310 1570 1922 2096 2480 2512 2620 3140 3844 4061 4192 4805 4867 4960 5024 5240 6280 7688 8122 9610 9734 10480 12560 15376 16244 19220 19468 20305 20567 20960 24335 25120 30752 32488 38440 38936 40610 41134 48670 64976 76880 77872 81220 82268 97340 102835 125891 129952 150877 153760 155744 162440 164536 194680 205670 251782 301754 324880 329072 389360 411340 503564 603508 629455 637577 649760 658144 754385 778720 822680 1007128 1207016 1258910 1275154 1508770 1645360 2014256 2414032 2517820 2550308 3017540 3187885 3290720 4028512 4828064 5035640 5100616 6035080 6375770 10071280 10201232 12070160 12751540 19764887 20142560 20402464 24140320 25503080 39529774 51006160 79059548 98824435 102012320 158119096 197648870 316238192 395297740 632476384 790595480 1581190960 3162381920