[go: up one dir, main page]

Search a number
-
+
76620000 = 253541277
BaseRepresentation
bin1001001000100…
…10000011100000
312100011200212210
410210102003200
5124103320000
611334122120
71620154632
oct444220340
9170150783
1076620000
113a282816
12217b0340
1312b48aa2
14a266a52
156ad7350
hex49120e0

76620000 has 120 divisors (see below), whose sum is σ = 251525736. Its totient is φ = 20416000.

The previous prime is 76619999. The next prime is 76620017. The reversal of 76620000 is 2667.

It is a tau number, because it is divible by the number of its divisors (120).

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59362 + ... + 60638.

Almost surely, 276620000 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 76620000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125762868).

76620000 is an abundant number, since it is smaller than the sum of its proper divisors (174905736).

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

76620000 is a wasteful number, since it uses less digits than its factorization.

76620000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 76620000 is about 8753.2850976076. The cubic root of 76620000 is about 424.7310870937.

Adding to 76620000 its reverse (2667), we get a palindrome (76622667).

The spelling of 76620000 in words is "seventy-six million, six hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1277 1500 1875 2000 2400 2500 2554 3000 3750 3831 4000 5000 5108 6000 6385 7500 7662 10000 10216 12000 12770 15000 15324 19155 20000 20432 25540 30000 30648 31925 38310 40864 51080 60000 61296 63850 76620 95775 102160 122592 127700 153240 159625 191550 204320 255400 306480 319250 383100 478875 510800 612960 638500 766200 798125 957750 1021600 1277000 1532400 1596250 1915500 2394375 2554000 3064800 3192500 3831000 4788750 5108000 6385000 7662000 9577500 12770000 15324000 19155000 25540000 38310000 76620000