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140506020 = 223251723773
BaseRepresentation
bin10000101111111…
…11001110100100
3100210101110000200
420113333032210
5241432143040
621535310500
73324165354
oct1027771644
9323343020
10140506020
1172348286
123b07b430
1323156775
1414936b64
15c506630
hex85ff3a4

140506020 has 216 divisors, whose sum is σ = 471353064. Its totient is φ = 33841152.

The previous prime is 140505979. The next prime is 140506031. The reversal of 140506020 is 20605041.

It is a happy number.

140506020 is a `hidden beast` number, since 14 + 0 + 50 + 602 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1218816 + 139287204 = 1104^2 + 11802^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 140505984 and 140506002.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1924704 + ... + 1924776.

Almost surely, 2140506020 is an apocalyptic number.

140506020 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 140506020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235676532).

140506020 is an abundant number, since it is smaller than the sum of its proper divisors (330847044).

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

140506020 is a wasteful number, since it uses less digits than its factorization.

140506020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 140506020 is about 11853.5235267831. The cubic root of 140506020 is about 519.8742546048.

The spelling of 140506020 in words is "one hundred forty million, five hundred six thousand, twenty".