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140816080 = 24537113421
BaseRepresentation
bin10000110010010…
…10111011010000
3100210222012100101
420121022323100
5242022103310
621550102144
73326626336
oct1031127320
9323865311
10140816080
117253a229
123b1aa954
1323234932
14149b7b56
15c56843a
hex864aed0

140816080 has 80 divisors (see below), whose sum is σ = 340027344. Its totient is φ = 54190080.

The previous prime is 140816077. The next prime is 140816101. The reversal of 140816080 is 80618041.

It can be written as a sum of positive squares in 8 ways, for example, as 35712576 + 105103504 = 5976^2 + 10252^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 334270 + ... + 334690.

Almost surely, 2140816080 is an apocalyptic number.

140816080 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 140816080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170013672).

140816080 is an abundant number, since it is smaller than the sum of its proper divisors (199211264).

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

140816080 is a wasteful number, since it uses less digits than its factorization.

140816080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 140816080 is about 11866.5951308705. The cubic root of 140816080 is about 520.2563824474.

The spelling of 140816080 in words is "one hundred forty million, eight hundred sixteen thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 113 148 185 226 296 370 421 452 565 592 740 842 904 1130 1480 1684 1808 2105 2260 2960 3368 4181 4210 4520 6736 8362 8420 9040 15577 16724 16840 20905 31154 33448 33680 41810 47573 62308 66896 77885 83620 95146 124616 155770 167240 190292 237865 249232 311540 334480 380584 475730 623080 761168 951460 1246160 1760201 1902920 3520402 3805840 7040804 8801005 14081608 17602010 28163216 35204020 70408040 140816080