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141283072 = 28731609
BaseRepresentation
bin10000110101111…
…00111100000000
3100211211220221101
420122330330000
5242132024242
622004104144
73333613000
oct1032747400
9324756841
10141283072
1172829077
123b395054
1323369368
1414a9a000
15c60b9b7
hex86bcf00

141283072 has 72 divisors (see below), whose sum is σ = 329084000. Its totient is φ = 60512256.

The previous prime is 141283063. The next prime is 141283097. The reversal of 141283072 is 270382141.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 141283072.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87004 + ... + 88612.

Almost surely, 2141283072 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 141283072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164542000).

141283072 is an abundant number, since it is smaller than the sum of its proper divisors (187800928).

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

141283072 is an frugal number, since it uses more digits than its factorization.

141283072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 141283072 is about 11886.2555920694. The cubic root of 141283072 is about 520.8308610841.

The spelling of 141283072 in words is "one hundred forty-one million, two hundred eighty-three thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 343 392 448 686 784 896 1372 1568 1609 1792 2744 3136 3218 5488 6272 6436 10976 11263 12544 12872 21952 22526 25744 43904 45052 51488 78841 87808 90104 102976 157682 180208 205952 315364 360416 411904 551887 630728 720832 1103774 1261456 1441664 2207548 2522912 2883328 4415096 5045824 8830192 10091648 17660384 20183296 35320768 70641536 141283072