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146887420 = 22541271661
BaseRepresentation
bin10001100000101…
…01001011111100
3101020101122122211
420300111023330
5300100344140
622324150204
73432344131
oct1060251374
9336348584
10146887420
1175a06769
1241238364
132457c244
1415718588
15cd672ea
hex8c152fc

146887420 has 48 divisors (see below), whose sum is σ = 317632896. Its totient is φ = 57024000.

The previous prime is 146887417. The next prime is 146887483. The reversal of 146887420 is 24788641.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221890 + ... + 222550.

It is an arithmetic number, because the mean of its divisors is an integer number (6617352).

Almost surely, 2146887420 is an apocalyptic number.

146887420 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 146887420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158816448).

146887420 is an abundant number, since it is smaller than the sum of its proper divisors (170745476).

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

146887420 is a wasteful number, since it uses less digits than its factorization.

146887420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The square root of 146887420 is about 12119.7120427839. The cubic root of 146887420 is about 527.6284451706.

It can be divided in two parts, 1468 and 87420, that added together give a palindrome (88888).

The spelling of 146887420 in words is "one hundred forty-six million, eight hundred eighty-seven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 271 410 542 661 820 1084 1322 1355 2644 2710 3305 5420 6610 11111 13220 22222 27101 44444 54202 55555 108404 111110 135505 179131 222220 271010 358262 542020 716524 895655 1791310 3582620 7344371 14688742 29377484 36721855 73443710 146887420