Search a number
-
+
3601121820 = 2235313595393
BaseRepresentation
bin1101011010100100…
…1100001000011100
3100021222010221110020
43112221030020130
524333341344240
61353200312140
7155145013302
oct32651141034
910258127406
103601121820
11158881513a
12846012650
134550b391a
142623a2272
151612340d0
hexd6a4c21c

3601121820 has 96 divisors (see below), whose sum is σ = 10439331840. Its totient is φ = 926561280.

The previous prime is 3601121819. The next prime is 3601121833. The reversal of 3601121820 is 281211063.

It is a super-2 number, since 2×36011218202 = 25936156724960224800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 665044 + ... + 670436.

It is an arithmetic number, because the mean of its divisors is an integer number (108743040).

Almost surely, 23601121820 is an apocalyptic number.

3601121820 is a gapful number since it is divisible by the number (30) 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 3601121820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5219665920).

3601121820 is an abundant number, since it is smaller than the sum of its proper divisors (6838210020).

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

3601121820 is a wasteful number, since it uses less digits than its factorization.

3601121820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5795 (or 5793 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 3601121820 is about 60009.3477718263. The cubic root of 3601121820 is about 1532.7780447812.

Adding to 3601121820 its reverse (281211063), we get a palindrome (3882332883).

The spelling of 3601121820 in words is "three billion, six hundred one million, one hundred twenty-one thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 359 372 465 620 718 930 1077 1436 1795 1860 2154 3590 4308 5385 5393 7180 10770 10786 11129 16179 21540 21572 22258 26965 32358 33387 44516 53930 55645 64716 66774 80895 107860 111290 133548 161790 166935 167183 222580 323580 333870 334366 501549 667740 668732 835915 1003098 1671830 1936087 2006196 2507745 3343660 3872174 5015490 5808261 7744348 9680435 10030980 11616522 19360870 23233044 29041305 38721740 58082610 60018697 116165220 120037394 180056091 240074788 300093485 360112182 600186970 720224364 900280455 1200373940 1800560910 3601121820