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146143424 = 2671731619
BaseRepresentation
bin10001011010111…
…11100011000000
3101011222212002102
420231133203000
5244403042144
622300205532
73423125060
oct1055374300
9334885072
10146143424
1175548799
1240b398a8
132437b6cb
14155a33a0
15cc6bb4e
hex8b5f8c0

146143424 has 112 divisors (see below), whose sum is σ = 362833920. Its totient is φ = 56954880.

The previous prime is 146143409. The next prime is 146143427. The reversal of 146143424 is 424341641.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (146143427) by changing a digit.

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, 235787 + ... + 236405.

Almost surely, 2146143424 is an apocalyptic number.

146143424 is a gapful number since it is divisible by the number (14) 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 146143424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181416960).

146143424 is an abundant number, since it is smaller than the sum of its proper divisors (216690496).

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

146143424 is a wasteful number, since it uses less digits than its factorization.

146143424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 676 counting only the distinct ones).

The product of its digits is 9216, while the sum is 29.

The square root of 146143424 is about 12088.9794441053. The cubic root of 146143424 is about 526.7361107668.

The spelling of 146143424 in words is "one hundred forty-six million, one hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 17 28 31 32 34 56 62 64 68 112 119 124 136 217 224 238 248 272 434 448 476 496 527 544 619 868 952 992 1054 1088 1238 1736 1904 1984 2108 2476 3472 3689 3808 4216 4333 4952 6944 7378 7616 8432 8666 9904 10523 13888 14756 16864 17332 19189 19808 21046 29512 33728 34664 38378 39616 42092 59024 69328 73661 76756 84184 118048 134323 138656 147322 153512 168368 236096 268646 277312 294644 307024 326213 336736 537292 589288 614048 652426 673472 1074584 1178576 1228096 1304852 2149168 2283491 2357152 2609704 4298336 4566982 4714304 5219408 8596672 9133964 10438816 18267928 20877632 36535856 73071712 146143424