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146431540 = 22517599719
BaseRepresentation
bin10001011101001…
…01111000110100
3101012112111022101
420232211320310
5244441302130
622310311444
73425435053
oct1056457064
9335474271
10146431540
1175725202
1241058584
132444c8a8
141563a39a
15ccc71ca
hex8ba5e34

146431540 has 48 divisors (see below), whose sum is σ = 326592000. Its totient is φ = 54958592.

The previous prime is 146431513. The next prime is 146431543. The reversal of 146431540 is 45134641.

146431540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 146431499 and 146431508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146431543) 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, 203301 + ... + 204019.

It is an arithmetic number, because the mean of its divisors is an integer number (6804000).

Almost surely, 2146431540 is an apocalyptic number.

146431540 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 146431540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163296000).

146431540 is an abundant number, since it is smaller than the sum of its proper divisors (180160460).

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

146431540 is a wasteful number, since it uses less digits than its factorization.

146431540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 146431540 is about 12100.8900499096. The cubic root of 146431540 is about 527.0820300377.

The spelling of 146431540 in words is "one hundred forty-six million, four hundred thirty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 599 719 1198 1438 2396 2876 2995 3595 5990 7190 10183 11980 12223 14380 20366 24446 40732 48892 50915 61115 101830 122230 203660 244460 430681 861362 1722724 2153405 4306810 7321577 8613620 14643154 29286308 36607885 73215770 146431540