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140010400 = 2552175013
BaseRepresentation
bin10000101100001…
…10001110100000
3100202110021011101
420112012032200
5241320313100
621520524144
73320032405
oct1026061640
9322407141
10140010400
1172039982
123aa80654
1323011cba
14148482ac
15c45986a
hex85863a0

140010400 has 36 divisors (see below), whose sum is σ = 341802342. Its totient is φ = 56003840.

The previous prime is 140010379. The next prime is 140010401. The reversal of 140010400 is 4010041.

It can be written as a sum of positive squares in 3 ways, for example, as 135396496 + 4613904 = 11636^2 + 2148^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (140010401) 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, 86707 + ... + 88306.

Almost surely, 2140010400 is an apocalyptic number.

140010400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140010400 is an abundant number, since it is smaller than the sum of its proper divisors (201791942).

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

140010400 is a wasteful number, since it uses less digits than its factorization.

140010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175033 (or 175020 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 140010400 is about 11832.5990382502. The cubic root of 140010400 is about 519.2622674712.

Adding to 140010400 its reverse (4010041), we get a palindrome (144020441).

The spelling of 140010400 in words is "one hundred forty million, ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 175013 350026 700052 875065 1400104 1750130 2800208 3500260 4375325 5600416 7000520 8750650 14001040 17501300 28002080 35002600 70005200 140010400