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146147316 = 22371991571
BaseRepresentation
bin10001011011000…
…00011111110100
3101012000001102120
420231200133310
5244403203231
622300235540
73423142320
oct1055403764
9335001376
10146147316
1175550707
1240b3bbb0
1324380403
14155a4980
15cc6cd96
hex8b607f4

146147316 has 48 divisors (see below), whose sum is σ = 410242560. Its totient is φ = 39558240.

The previous prime is 146147291. The next prime is 146147321. The reversal of 146147316 is 613741641.

146147316 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44190 + ... + 47381.

It is an arithmetic number, because the mean of its divisors is an integer number (8546720).

Almost surely, 2146147316 is an apocalyptic number.

It is an amenable number.

146147316 is an abundant number, since it is smaller than the sum of its proper divisors (264095244).

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

146147316 is a wasteful number, since it uses less digits than its factorization.

146147316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91604 (or 91602 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 146147316 is about 12089.1404160925. The cubic root of 146147316 is about 526.7407866272.

Adding to 146147316 its reverse (613741641), we get a palindrome (759888957).

The spelling of 146147316 in words is "one hundred forty-six million, one hundred forty-seven thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 532 798 1596 91571 183142 274713 366284 549426 640997 1098852 1281994 1739849 1922991 2563988 3479698 3845982 5219547 6959396 7691964 10439094 12178943 20878188 24357886 36536829 48715772 73073658 146147316