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140401080 = 23335711831
BaseRepresentation
bin10000101111001…
…01100110111000
3100210012010002000
420113211212320
5241420313310
621533141000
73323250411
oct1027454670
9323163060
10140401080
1172286456
123b02a760
132311aa81
141490a808
15c4d54c0
hex85e59b8

140401080 has 128 divisors (see below), whose sum is σ = 474854400. Its totient is φ = 36892800.

The previous prime is 140401073. The next prime is 140401087. The reversal of 140401080 is 80104041.

140401080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (140401073) and next prime (140401087).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140401087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75765 + ... + 77595.

It is an arithmetic number, because the mean of its divisors is an integer number (3709800).

Almost surely, 2140401080 is an apocalyptic number.

140401080 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 140401080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237427200).

140401080 is an abundant number, since it is smaller than the sum of its proper divisors (334453320).

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

140401080 is a wasteful number, since it uses less digits than its factorization.

140401080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1922 (or 1912 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 140401080 is about 11849.0961680628. The cubic root of 140401080 is about 519.7447958767.

The spelling of 140401080 in words is "one hundred forty million, four hundred one thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 71 72 90 108 120 135 142 180 213 216 270 284 355 360 426 540 568 639 710 852 1065 1080 1278 1420 1704 1831 1917 2130 2556 2840 3195 3662 3834 4260 5112 5493 6390 7324 7668 8520 9155 9585 10986 12780 14648 15336 16479 18310 19170 21972 25560 27465 32958 36620 38340 43944 49437 54930 65916 73240 76680 82395 98874 109860 130001 131832 164790 197748 219720 247185 260002 329580 390003 395496 494370 520004 650005 659160 780006 988740 1040008 1170009 1300010 1560012 1950015 1977480 2340018 2600020 3120024 3510027 3900030 4680036 5200040 5850045 7020054 7800060 9360072 11700090 14040108 15600120 17550135 23400180 28080216 35100270 46800360 70200540 140401080