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142389072 = 24327294871
BaseRepresentation
bin10000111110010…
…10111101010000
3100220221010002100
420133022331100
5242422422242
622043520400
73346200330
oct1037127520
9326833070
10142389072
1173414021
123b829100
13236658b7
1414ca70c0
15c77954c
hex87caf50

142389072 has 120 divisors (see below), whose sum is σ = 471219840. Its totient is φ = 39271680.

The previous prime is 142389041. The next prime is 142389083. The reversal of 142389072 is 270983241.

142389072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 26797 + ... + 31667.

It is an arithmetic number, because the mean of its divisors is an integer number (3926832).

Almost surely, 2142389072 is an apocalyptic number.

142389072 is a gapful number since it is divisible by the number (12) 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 142389072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235609920).

142389072 is an abundant number, since it is smaller than the sum of its proper divisors (328830768).

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

142389072 is a wasteful number, since it uses less digits than its factorization.

142389072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4921 (or 4912 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 142389072 is about 11932.6892191157. The cubic root of 142389072 is about 522.1863957583.

The spelling of 142389072 in words is "one hundred forty-two million, three hundred eighty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 36 42 48 56 58 63 72 84 87 112 116 126 144 168 174 203 232 252 261 336 348 406 464 504 522 609 696 812 1008 1044 1218 1392 1624 1827 2088 2436 3248 3654 4176 4871 4872 7308 9742 9744 14613 14616 19484 29226 29232 34097 38968 43839 58452 68194 77936 87678 102291 116904 136388 141259 175356 204582 233808 272776 282518 306873 350712 409164 423777 545552 565036 613746 701424 818328 847554 988813 1130072 1227492 1271331 1636656 1695108 1977626 2260144 2454984 2542662 2966439 3390216 3955252 4909968 5085324 5932878 6780432 7910504 8899317 10170648 11865756 15821008 17798634 20341296 23731512 35597268 47463024 71194536 142389072