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140480896 = 271378011
BaseRepresentation
bin10000101111110…
…01000110000000
3100210100011120011
420113321012000
5241430342041
621534554304
73324032203
oct1027710600
9323304504
10140480896
1172330416
123b068994
13231481ba
141492b93a
15c4ede81
hex85f9180

140480896 has 32 divisors (see below), whose sum is σ = 281942280. Its totient is φ = 69719040.

The previous prime is 140480869. The next prime is 140480969. The reversal of 140480896 is 698084041.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 13531 + ... + 21541.

Almost surely, 2140480896 is an apocalyptic number.

140480896 is a gapful number since it is divisible by the number (16) 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 140480896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140971140).

140480896 is an abundant number, since it is smaller than the sum of its proper divisors (141461384).

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

140480896 is an equidigital number, since it uses as much as digits as its factorization.

140480896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8162 (or 8150 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 140480896 is about 11852.4637101322. The cubic root of 140480896 is about 519.8432663730.

It can be divided in two parts, 140480 and 896, that added together give a square (141376 = 3762).

The spelling of 140480896 in words is "one hundred forty million, four hundred eighty thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 128 137 274 548 1096 2192 4384 8011 8768 16022 17536 32044 64088 128176 256352 512704 1025408 1097507 2195014 4390028 8780056 17560112 35120224 70240448 140480896