Search a number
-
+
77430060 = 22335223643
BaseRepresentation
bin1001001110101…
…11110100101100
312101200212002000
410213113310230
5124310230220
611403332300
71630100421
oct447276454
9171625060
1077430060
113a786394
1221b21090
1313070706
14a3d7d48
156be7390
hex49d7d2c

77430060 has 96 divisors (see below), whose sum is σ = 242350080. Its totient is φ = 20523456.

The previous prime is 77430049. The next prime is 77430077. The reversal of 77430060 is 6003477.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 120099 + ... + 120741.

It is an arithmetic number, because the mean of its divisors is an integer number (2524480).

Almost surely, 277430060 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 77430060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121175040).

77430060 is an abundant number, since it is smaller than the sum of its proper divisors (164920020).

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

77430060 is a wasteful number, since it uses less digits than its factorization.

77430060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 77430060 is about 8799.4352091484. The cubic root of 77430060 is about 426.2226568632. Note that the first 3 decimals are identical.

The spelling of 77430060 in words is "seventy-seven million, four hundred thirty thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 223 270 446 540 643 669 892 1115 1286 1338 1929 2007 2230 2572 2676 3215 3345 3858 4014 4460 5787 6021 6430 6690 7716 8028 9645 10035 11574 12042 12860 13380 17361 19290 20070 23148 24084 28935 30105 34722 38580 40140 57870 60210 69444 86805 115740 120420 143389 173610 286778 347220 430167 573556 716945 860334 1290501 1433890 1720668 2150835 2581002 2867780 3871503 4301670 5162004 6452505 7743006 8603340 12905010 15486012 19357515 25810020 38715030 77430060