Search a number
-
+
140529960 = 23325419521
BaseRepresentation
bin10000110000001…
…01000100101000
3100210102122212100
420120011010220
5241433424320
621540013400
73324325224
oct1030050450
9323378770
10140529960
117236426a
123b091260
132316462c
1414941784
15c50d790
hex8605128

140529960 has 96 divisors (see below), whose sum is σ = 467911080. Its totient is φ = 36556800.

The previous prime is 140529937. The next prime is 140529967. The reversal of 140529960 is 69925041.

140529960 is a `hidden beast` number, since 1 + 40 + 529 + 96 + 0 = 666.

140529960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 71673156 + 68856804 = 8466^2 + 8298^2 .

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

It is not an unprimeable number, because it can be changed into a prime (140529967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10000 + ... + 19520.

Almost surely, 2140529960 is an apocalyptic number.

140529960 is a gapful number since it is divisible by the number (10) 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 140529960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233955540).

140529960 is an abundant number, since it is smaller than the sum of its proper divisors (327381120).

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

140529960 is a wasteful number, since it uses less digits than its factorization.

140529960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9579 (or 9572 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 140529960 is about 11854.5333100886. The cubic root of 140529960 is about 519.9037790405.

The spelling of 140529960 in words is "one hundred forty million, five hundred twenty-nine thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 41 45 60 72 82 90 120 123 164 180 205 246 328 360 369 410 492 615 738 820 984 1230 1476 1640 1845 2460 2952 3690 4920 7380 9521 14760 19042 28563 38084 47605 57126 76168 85689 95210 114252 142815 171378 190420 228504 285630 342756 380840 390361 428445 571260 685512 780722 856890 1142520 1171083 1561444 1713780 1951805 2342166 3122888 3427560 3513249 3903610 4684332 5855415 7026498 7807220 9368664 11710830 14052996 15614440 17566245 23421660 28105992 35132490 46843320 70264980 140529960