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146836480 = 2105717241
BaseRepresentation
bin10001100000010…
…00110000000000
3101020022001210011
420300020300000
5300042231410
622323114304
73432042460
oct1060106000
9336261704
10146836480
117598146a
1241212994
1324561cbb
1415703ba0
15cd5718a
hex8c08c00

146836480 has 176 divisors, whose sum is σ = 428003136. Its totient is φ = 47185920.

The previous prime is 146836453. The next prime is 146836499. The reversal of 146836480 is 84638641.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 609160 + ... + 609400.

It is an arithmetic number, because the mean of its divisors is an integer number (2431836).

Almost surely, 2146836480 is an apocalyptic number.

146836480 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 146836480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214001568).

146836480 is an abundant number, since it is smaller than the sum of its proper divisors (281166656).

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

146836480 is a wasteful number, since it uses less digits than its factorization.

146836480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 146836480 is about 12117.6103254726. The cubic root of 146836480 is about 527.5674449375.

The spelling of 146836480 in words is "one hundred forty-six million, eight hundred thirty-six thousand, four hundred eighty".