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146305616 = 2431397743
BaseRepresentation
bin10001011100001…
…11001001010000
3101012022002120112
420232013021100
5244423234431
622303500452
73424401662
oct1056071120
9335262515
10146305616
1175649636
1240bb7728
1324407492
1415606532
15cc9ec2b
hex8b87250

146305616 has 40 divisors (see below), whose sum is σ = 293743104. Its totient is φ = 70519680.

The previous prime is 146305613. The next prime is 146305619. The reversal of 146305616 is 616503641.

146305616 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (146305613) and next prime (146305619).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146305613) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 196541 + ... + 197283.

Almost surely, 2146305616 is an apocalyptic number.

146305616 is a gapful number since it is divisible by the number (16) 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 146305616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146871552).

146305616 is an abundant number, since it is smaller than the sum of its proper divisors (147437488).

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

146305616 is a wasteful number, since it uses less digits than its factorization.

With its successor (146305617) it forms an eRAP, since the sums of their prime factors are consecutive (1179 and 1180).

146305616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 146305616 is about 12095.6858424812. The cubic root of 146305616 is about 526.9308984070.

The spelling of 146305616 in words is "one hundred forty-six million, three hundred five thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 31 62 124 248 397 496 743 794 1486 1588 2972 3176 5944 6352 11888 12307 23033 24614 46066 49228 92132 98456 184264 196912 294971 368528 589942 1179884 2359768 4719536 9144101 18288202 36576404 73152808 146305616