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146255004 = 22337229953
BaseRepresentation
bin10001011011110…
…10110010011100
3101012012112011000
420231322302130
5244420130004
622302430300
73424101300
oct1055726234
9335175130
10146255004
1175614605
1240b92390
13243ba42c
14155d1d00
15cc8ec39
hex8b7ac9c

146255004 has 144 divisors (see below), whose sum is σ = 456775200. Its totient is φ = 40303872.

The previous prime is 146254937. The next prime is 146255009. The reversal of 146255004 is 400552641.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146255009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152992 + ... + 153944.

It is an arithmetic number, because the mean of its divisors is an integer number (3172050).

Almost surely, 2146255004 is an apocalyptic number.

146255004 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 146255004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228387600).

146255004 is an abundant number, since it is smaller than the sum of its proper divisors (310520196).

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

146255004 is a wasteful number, since it uses less digits than its factorization.

146255004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 146255004 is about 12093.5935106154. The cubic root of 146255004 is about 526.8701303991.

The spelling of 146255004 in words is "one hundred forty-six million, two hundred fifty-five thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 29 36 42 49 54 58 63 84 87 98 108 116 126 147 174 189 196 203 252 261 294 348 378 406 441 522 588 609 756 783 812 882 953 1044 1218 1323 1421 1566 1764 1827 1906 2436 2646 2842 2859 3132 3654 3812 4263 5292 5481 5684 5718 6671 7308 8526 8577 10962 11436 12789 13342 17052 17154 20013 21924 25578 25731 26684 27637 34308 38367 40026 46697 51156 51462 55274 60039 76734 80052 82911 93394 102924 110548 120078 140091 153468 165822 180117 186788 193459 240156 248733 280182 331644 360234 386918 420273 497466 560364 580377 720468 746199 773836 840546 994932 1160754 1260819 1354213 1492398 1681092 1741131 2321508 2521638 2708426 2984796 3482262 4062639 5043276 5223393 5416852 6964524 8125278 10446786 12187917 16250556 20893572 24375834 36563751 48751668 73127502 146255004