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140525568 = 21432953
BaseRepresentation
bin10000110000001…
…00000000000000
3100210102102211200
420120010000000
5241433304233
621535541200
73324306351
oct1030040000
9323372750
10140525568
1172360a37
123b08a800
1323162631
141493dd28
15c50c313
hex8604000

140525568 has 90 divisors (see below), whose sum is σ = 406376334. Its totient is φ = 46792704.

The previous prime is 140525563. The next prime is 140525569. The reversal of 140525568 is 865525041.

140525568 is a `hidden beast` number, since 1 + 40 + 52 + 5 + 568 = 666.

It can be written as a sum of positive squares in only one way, i.e., 115605504 + 24920064 = 10752^2 + 4992^2 .

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 (140525563) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 146980 + ... + 147932.

Almost surely, 2140525568 is an apocalyptic number.

140525568 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 140525568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203188167).

140525568 is an abundant number, since it is smaller than the sum of its proper divisors (265850766).

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

140525568 is an frugal number, since it uses more digits than its factorization.

140525568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 140525568 is about 11854.3480630526. The cubic root of 140525568 is about 519.8983627787.

The spelling of 140525568 in words is "one hundred forty million, five hundred twenty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 953 1024 1152 1536 1906 2048 2304 2859 3072 3812 4096 4608 5718 6144 7624 8192 8577 9216 11436 12288 15248 16384 17154 18432 22872 24576 30496 34308 36864 45744 49152 60992 68616 73728 91488 121984 137232 147456 182976 243968 274464 365952 487936 548928 731904 975872 1097856 1463808 1951744 2195712 2927616 3903488 4391424 5855232 7806976 8782848 11710464 15613952 17565696 23420928 35131392 46841856 70262784 140525568