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146080340 = 225710110331
BaseRepresentation
bin10001011010100…
…00001001010100
3101011212122112222
420231100021110
5244344032330
622255001512
73422443130
oct1055201124
9334778488
10146080340
117550535a
1240b09298
1324358a93
14155883c0
15cc580e5
hex8b50254

146080340 has 48 divisors (see below), whose sum is σ = 354098304. Its totient is φ = 49584000.

The previous prime is 146080309. The next prime is 146080343. The reversal of 146080340 is 43080641.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146080343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8975 + ... + 19305.

It is an arithmetic number, because the mean of its divisors is an integer number (7377048).

Almost surely, 2146080340 is an apocalyptic number.

146080340 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 146080340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177049152).

146080340 is an abundant number, since it is smaller than the sum of its proper divisors (208017964).

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

146080340 is a wasteful number, since it uses less digits than its factorization.

146080340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10448 (or 10446 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 146080340 is about 12086.3700092294. The cubic root of 146080340 is about 526.6603098807.

The spelling of 146080340 in words is "one hundred forty-six million, eighty thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 101 140 202 404 505 707 1010 1414 2020 2828 3535 7070 10331 14140 20662 41324 51655 72317 103310 144634 206620 289268 361585 723170 1043431 1446340 2086862 4173724 5217155 7304017 10434310 14608034 20868620 29216068 36520085 73040170 146080340