Search a number
-
+
62080080 = 2435376991
BaseRepresentation
bin1110110011010…
…0010001010000
311022210222212020
43230310101100
5111343030310
610054331440
71352446326
oct354642120
9138728766
1062080080
1132051757
1218959b80
13cb2799a
14835dd16
1556b4170
hex3b34450

62080080 has 80 divisors (see below), whose sum is σ = 197677824. Its totient is φ = 16104960.

The previous prime is 62080069. The next prime is 62080103. The reversal of 62080080 is 8008026.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 62080080.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5385 + ... + 12375.

Almost surely, 262080080 is an apocalyptic number.

62080080 is a gapful number since it is divisible by the number (60) 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 62080080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98838912).

62080080 is an abundant number, since it is smaller than the sum of its proper divisors (135597744).

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

62080080 is a wasteful number, since it uses less digits than its factorization.

62080080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7044 (or 7038 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 62080080 is about 7879.0913181661. The cubic root of 62080080 is about 395.9594897852.

The spelling of 62080080 in words is "sixty-two million, eighty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1480 1776 2220 2960 4440 6991 8880 13982 20973 27964 34955 41946 55928 69910 83892 104865 111856 139820 167784 209730 258667 279640 335568 419460 517334 559280 776001 838920 1034668 1293335 1552002 1677840 2069336 2586670 3104004 3880005 4138672 5173340 6208008 7760010 10346680 12416016 15520020 20693360 31040040 62080080