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140419008 = 26359029
BaseRepresentation
bin10000101111010…
…01111111000000
3100210020000200000
420113221333000
5241421402013
621533400000
73323353602
oct1027517700
9323200600
10140419008
1172298974
123b039000
1323125c92
1414913172
15c4da973
hex85e9fc0

140419008 has 84 divisors (see below), whose sum is σ = 417438840. Its totient is φ = 46801152.

The previous prime is 140419007. The next prime is 140419079. The reversal of 140419008 is 800914041.

140419008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140419001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11038 + ... + 20066.

It is an arithmetic number, because the mean of its divisors is an integer number (4969510).

Almost surely, 2140419008 is an apocalyptic number.

140419008 is a gapful number since it is divisible by the number (18) 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 140419008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208719420).

140419008 is an abundant number, since it is smaller than the sum of its proper divisors (277019832).

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

140419008 is an frugal number, since it uses more digits than its factorization.

140419008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9056 (or 9034 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 140419008 is about 11849.8526573118. The cubic root of 140419008 is about 519.7669172358.

The spelling of 140419008 in words is "one hundred forty million, four hundred nineteen thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 864 972 1296 1728 1944 2592 3888 5184 7776 9029 15552 18058 27087 36116 54174 72232 81261 108348 144464 162522 216696 243783 288928 325044 433392 487566 577856 650088 731349 866784 975132 1300176 1462698 1733568 1950264 2194047 2600352 2925396 3900528 4388094 5200704 5850792 7801056 8776188 11701584 15602112 17552376 23403168 35104752 46806336 70209504 140419008