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30419680 = 255316133
BaseRepresentation
bin111010000001…
…0101011100000
32010020110221211
41310002223200
530241412210
63003555504
7516364054
oct164025340
963213854
1030419680
1116197835
12a22bb94
1363c1015
14407bc64
152a0d38a
hex1d02ae0

30419680 has 48 divisors (see below), whose sum is σ = 74196864. Its totient is φ = 11773440.

The previous prime is 30419671. The next prime is 30419689. The reversal of 30419680 is 8691403.

It is an interprime number because it is at equal distance from previous prime (30419671) and next prime (30419689).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30419689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1894 + ... + 8026.

It is an arithmetic number, because the mean of its divisors is an integer number (1545768).

Almost surely, 230419680 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 30419680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37098432).

30419680 is an abundant number, since it is smaller than the sum of its proper divisors (43777184).

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

30419680 is a wasteful number, since it uses less digits than its factorization.

30419680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6179 (or 6171 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 30419680 is about 5515.4038836698. The cubic root of 30419680 is about 312.1654831095.

It can be divided in two parts, 3041 and 9680, that added together give a palindrome (12721).

The spelling of 30419680 in words is "thirty million, four hundred nineteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 992 1240 2480 4960 6133 12266 24532 30665 49064 61330 98128 122660 190123 196256 245320 380246 490640 760492 950615 981280 1520984 1901230 3041968 3802460 6083936 7604920 15209840 30419680