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146146000 = 24537111373
BaseRepresentation
bin10001011011000…
…00001011010000
3101011222222121211
420231200023100
5244403133000
622300225504
73423135430
oct1055401320
9334888554
10146146000
117554a720
1240b3b294
132437c930
14155a42c0
15cc6c7ba
hex8b602d0

146146000 has 320 divisors, whose sum is σ = 480969216. Its totient is φ = 41472000.

The previous prime is 146145973. The next prime is 146146003. The reversal of 146146000 is 641641.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146146003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2001964 + ... + 2002036.

Almost surely, 2146146000 is an apocalyptic number.

146146000 is a gapful number since it is divisible by the number (10) 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 146146000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240484608).

146146000 is an abundant number, since it is smaller than the sum of its proper divisors (334823216).

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

146146000 is a wasteful number, since it uses less digits than its factorization.

146146000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 146146000 is about 12089.0859869553. The cubic root of 146146000 is about 526.7392055901.

Adding to 146146000 its reverse (641641), we get a palindrome (146787641).

The spelling of 146146000 in words is "one hundred forty-six million, one hundred forty-six thousand".