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146149016 = 23131738123
BaseRepresentation
bin10001011011000…
…00111010011000
3101012000010202112
420231200322120
5244403232031
622300251452
73423150266
oct1055407230
9335003675
10146149016
1175551a12
1240b40b88
1324381110
14155a5436
15cc6d62b
hex8b60e98

146149016 has 32 divisors (see below), whose sum is σ = 296850960. Its totient is φ = 67055232.

The previous prime is 146149013. The next prime is 146149021. The reversal of 146149016 is 610941641.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146149013) 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, 13931 + ... + 22053.

Almost surely, 2146149016 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 146149016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148425480).

146149016 is an abundant number, since it is smaller than the sum of its proper divisors (150701944).

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

146149016 is a wasteful number, since it uses less digits than its factorization.

146149016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8315 (or 8311 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 146149016 is about 12089.2107269251. The cubic root of 146149016 is about 526.7428289862.

The spelling of 146149016 in words is "one hundred forty-six million, one hundred forty-nine thousand, sixteen".

Divisors: 1 2 4 8 13 26 52 104 173 346 692 1384 2249 4498 8123 8996 16246 17992 32492 64984 105599 211198 422396 844792 1405279 2810558 5621116 11242232 18268627 36537254 73074508 146149016