Search a number
-
+
1242160620 = 2235711012887
BaseRepresentation
bin100101000001001…
…1101110111101100
310012120100022000220
41022002131313230
510020443114440
6323131451340
742532122351
oct11202356754
93176308026
101242160620
11588192728
122a7bb6b50
1316a4665ac
14bad86628
15740b78d0
hex4a09ddec

1242160620 has 96 divisors (see below), whose sum is σ = 3563191296. Its totient is φ = 323232000.

The previous prime is 1242160613. The next prime is 1242160639. The reversal of 1242160620 is 260612421.

1242160620 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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, 428817 + ... + 431703.

It is an arithmetic number, because the mean of its divisors is an integer number (37116576).

Almost surely, 21242160620 is an apocalyptic number.

1242160620 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 1242160620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781595648).

1242160620 is an abundant number, since it is smaller than the sum of its proper divisors (2321030676).

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

1242160620 is a wasteful number, since it uses less digits than its factorization.

1242160620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3071 (or 3069 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1242160620 is about 35244.2991134737. The cubic root of 1242160620 is about 1074.9606965980.

The spelling of 1242160620 in words is "one billion, two hundred forty-two million, one hundred sixty thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 101 142 202 213 284 303 355 404 426 505 606 710 852 1010 1065 1212 1420 1515 2020 2130 2887 3030 4260 5774 6060 7171 8661 11548 14342 14435 17322 21513 28684 28870 34644 35855 43026 43305 57740 71710 86052 86610 107565 143420 173220 204977 215130 291587 409954 430260 583174 614931 819908 874761 1024885 1166348 1229862 1457935 1749522 2049770 2459724 2915870 3074655 3499044 4099540 4373805 5831740 6149310 8747610 12298620 17495220 20702677 41405354 62108031 82810708 103513385 124216062 207026770 248432124 310540155 414053540 621080310 1242160620