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140006800 = 2452418537
BaseRepresentation
bin10000101100001…
…01010110010000
3100202110002020001
420112011112100
5241320204200
621520455344
73320016043
oct1026052620
9322402201
10140006800
11720371aa
123aa7a554
132301047b
1414846c5a
15c45876a
hex8585590

140006800 has 60 divisors (see below), whose sum is σ = 344610756. Its totient is φ = 54630400.

The previous prime is 140006771. The next prime is 140006813. The reversal of 140006800 is 8600041.

It can be written as a sum of positive squares in 6 ways, for example, as 5817744 + 134189056 = 2412^2 + 11584^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12132 + ... + 20668.

Almost surely, 2140006800 is an apocalyptic number.

140006800 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 140006800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172305378).

140006800 is an abundant number, since it is smaller than the sum of its proper divisors (204603956).

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

140006800 is a wasteful number, since it uses less digits than its factorization.

140006800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8596 (or 8585 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 140006800 is about 11832.4469151566. The cubic root of 140006800 is about 519.2578169442.

Adding to 140006800 its reverse (8600041), we get a palindrome (148606841).

The spelling of 140006800 in words is "one hundred forty million, six thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 164 200 205 328 400 410 656 820 1025 1640 2050 3280 4100 8200 8537 16400 17074 34148 42685 68296 85370 136592 170740 213425 341480 350017 426850 682960 700034 853700 1400068 1707400 1750085 2800136 3414800 3500170 5600272 7000340 8750425 14000680 17500850 28001360 35001700 70003400 140006800