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146124420 = 223513187339
BaseRepresentation
bin10001011010110…
…10111010000100
3101011221220000120
420231122322010
5244401440140
622255541540
73423015501
oct1055327204
9334856016
10146124420
1175535492
1240b2a8b0
1324372b70
141559a4a8
15cc661d0
hex8b5ae84

146124420 has 48 divisors (see below), whose sum is σ = 440623680. Its totient is φ = 35968896.

The previous prime is 146124409. The next prime is 146124437. The reversal of 146124420 is 24421641.

It is a happy number.

It is a super-2 number, since 2×1461244202 = 42704692240672800, which contains 22 as substring.

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, 92890 + ... + 94449.

It is an arithmetic number, because the mean of its divisors is an integer number (9179660).

Almost surely, 2146124420 is an apocalyptic number.

146124420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146124420 is an abundant number, since it is smaller than the sum of its proper divisors (294499260).

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

146124420 is a wasteful number, since it uses less digits than its factorization.

146124420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187364 (or 187362 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 146124420 is about 12088.1934134096. The cubic root of 146124420 is about 526.7132781122.

The spelling of 146124420 in words is "one hundred forty-six million, one hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 187339 374678 562017 749356 936695 1124034 1873390 2248068 2435407 2810085 3746780 4870814 5620170 7306221 9741628 11240340 12177035 14612442 24354070 29224884 36531105 48708140 73062210 146124420