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142154208 = 25327107659
BaseRepresentation
bin10000111100100…
…01100111100000
3100220111011220200
420132101213200
5242342413313
622034505200
73344201520
oct1036214740
9326434820
10142154208
1173273619
123b735200
13235b2a21
1414c45680
15c72eb73
hex87919e0

142154208 has 144 divisors (see below), whose sum is σ = 467026560. Its totient is φ = 40174848.

The previous prime is 142154197. The next prime is 142154227. The reversal of 142154208 is 802451241.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 215383 + ... + 216041.

It is an arithmetic number, because the mean of its divisors is an integer number (3243240).

Almost surely, 2142154208 is an apocalyptic number.

142154208 is a gapful number since it is divisible by the number (18) 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 142154208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233513280).

142154208 is an abundant number, since it is smaller than the sum of its proper divisors (324872352).

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

142154208 is a wasteful number, since it uses less digits than its factorization.

142154208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 142154208 is about 11922.8439560367. The cubic root of 142154208 is about 521.8991305514.

The spelling of 142154208 in words is "one hundred forty-two million, one hundred fifty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 107 112 126 144 168 214 224 252 288 321 336 428 504 642 659 672 749 856 963 1008 1284 1318 1498 1712 1926 1977 2016 2247 2568 2636 2996 3424 3852 3954 4494 4613 5136 5272 5931 5992 6741 7704 7908 8988 9226 10272 10544 11862 11984 13482 13839 15408 15816 17976 18452 21088 23724 23968 26964 27678 30816 31632 35952 36904 41517 47448 53928 55356 63264 70513 71904 73808 83034 94896 107856 110712 141026 147616 166068 189792 211539 215712 221424 282052 332136 423078 442848 493591 564104 634617 664272 846156 987182 1128208 1269234 1328544 1480773 1692312 1974364 2256416 2538468 2961546 3384624 3948728 4442319 5076936 5923092 6769248 7897456 8884638 10153872 11846184 15794912 17769276 20307744 23692368 35538552 47384736 71077104 142154208