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146393412 = 223116118181
BaseRepresentation
bin10001011100111…
…00100101000100
3101012110120000020
420232130211010
5244434042122
622305415140
73425215644
oct1056344504
9335416006
10146393412
11756a95a0
124103a4b0
1324438429
141562a524
15ccbac5c
hex8b9c944

146393412 has 48 divisors (see below), whose sum is σ = 378767424. Its totient is φ = 43632000.

The previous prime is 146393407. The next prime is 146393437. The reversal of 146393412 is 214393641.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 1039 + ... + 17142.

It is an arithmetic number, because the mean of its divisors is an integer number (7890988).

Almost surely, 2146393412 is an apocalyptic number.

146393412 is a gapful number since it is divisible by the number (12) 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 146393412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189383712).

146393412 is an abundant number, since it is smaller than the sum of its proper divisors (232374012).

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

146393412 is a wasteful number, since it uses less digits than its factorization.

146393412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18260 (or 18258 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 146393412 is about 12099.3145260382. The cubic root of 146393412 is about 527.0362786735.

The spelling of 146393412 in words is "one hundred forty-six million, three hundred ninety-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 61 66 122 132 183 244 366 671 732 1342 2013 2684 4026 8052 18181 36362 54543 72724 109086 199991 218172 399982 599973 799964 1109041 1199946 2218082 2399892 3327123 4436164 6654246 12199451 13308492 24398902 36598353 48797804 73196706 146393412