Search a number
-
+
67701420 = 2234523279
BaseRepresentation
bin1000000100100…
…00101010101100
311201101120220000
410002100222230
5114312421140
610415024300
71451311143
oct402205254
9151346800
1067701420
1135241096
121a80b090
1311045517
148dc475a
155e24a30
hex4090aac

67701420 has 180 divisors, whose sum is σ = 224827680. Its totient is φ = 17050176.

The previous prime is 67701401. The next prime is 67701437. The reversal of 67701420 is 2410776.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 856941 + ... + 857019.

Almost surely, 267701420 is an apocalyptic number.

67701420 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 67701420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112413840).

67701420 is an abundant number, since it is smaller than the sum of its proper divisors (157126260).

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

67701420 is a wasteful number, since it uses less digits than its factorization.

67701420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 67701420 is about 8228.0872625416. The cubic root of 67701420 is about 407.5672314330.

It can be divided in two parts, 67701 and 420, that added together give a square (68121 = 2612).

The spelling of 67701420 in words is "sixty-seven million, seven hundred one thousand, four hundred twenty".