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142838784 = 21032111409
BaseRepresentation
bin10001000001110…
…00110000000000
3100221202221222100
420200320300000
5243031320114
622101310400
73353052414
oct1040706000
9327687870
10142838784
11736a0990
123ba05400
13237924ba
1414d82d44
15c817909
hex8838c00

142838784 has 132 divisors (see below), whose sum is σ = 450258120. Its totient is φ = 43253760.

The previous prime is 142838783. The next prime is 142838791. The reversal of 142838784 is 487838241.

It is a tau number, because it is divible by the number of its divisors (132).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142838783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100672 + ... + 102080.

Almost surely, 2142838784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142838784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225129060).

142838784 is an abundant number, since it is smaller than the sum of its proper divisors (307419336).

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

142838784 is a wasteful number, since it uses less digits than its factorization.

142838784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1425 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 142838784 is about 11951.5180625726. The cubic root of 142838784 is about 522.7355640584.

The spelling of 142838784 in words is "one hundred forty-two million, eight hundred thirty-eight thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1024 1056 1152 1408 1409 1536 1584 2112 2304 2816 2818 3072 3168 4224 4227 4608 5632 5636 6336 8448 8454 9216 11264 11272 12672 12681 15499 16896 16908 22544 25344 25362 30998 33792 33816 45088 46497 50688 50724 61996 67632 90176 92994 101376 101448 123992 135264 139491 180352 185988 202896 247984 270528 278982 360704 371976 405792 495968 541056 557964 721408 743952 811584 991936 1082112 1115928 1442816 1487904 1623168 1983872 2164224 2231856 2975808 3246336 3967744 4328448 4463712 5951616 6492672 7935488 8927424 11903232 12985344 15870976 17854848 23806464 35709696 47612928 71419392 142838784