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140405280 = 2535734007
BaseRepresentation
bin10000101111001…
…10101000100000
3100210012022211120
420113212220200
5241420432110
621533212240
73323265561
oct1027465040
9323168746
10140405280
1172289624
123b031080
132311c962
141490c168
15c4d6870
hex85e6a20

140405280 has 96 divisors (see below), whose sum is σ = 448447104. Its totient is φ = 36919296.

The previous prime is 140405173. The next prime is 140405297. The reversal of 140405280 is 82504041.

140405280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 140405280.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33037 + ... + 37043.

It is an arithmetic number, because the mean of its divisors is an integer number (4671324).

Almost surely, 2140405280 is an apocalyptic number.

140405280 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 140405280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224223552).

140405280 is an abundant number, since it is smaller than the sum of its proper divisors (308041824).

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

140405280 is a wasteful number, since it uses less digits than its factorization.

140405280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4098 (or 4090 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 140405280 is about 11849.2733954450. The cubic root of 140405280 is about 519.7499784255.

The spelling of 140405280 in words is "one hundred forty million, four hundred five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 73 80 96 120 146 160 219 240 292 365 438 480 584 730 876 1095 1168 1460 1752 2190 2336 2920 3504 4007 4380 5840 7008 8014 8760 11680 12021 16028 17520 20035 24042 32056 35040 40070 48084 60105 64112 80140 96168 120210 128224 160280 192336 240420 292511 320560 384672 480840 585022 641120 877533 961680 1170044 1462555 1755066 1923360 2340088 2925110 3510132 4387665 4680176 5850220 7020264 8775330 9360352 11700440 14040528 17550660 23400880 28081056 35101320 46801760 70202640 140405280