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140150400 = 27352131123
BaseRepresentation
bin10000101101010…
…00011010000000
3100202201101012120
420112220122000
5241334303100
621523524240
73321154515
oct1026503200
9322641176
10140150400
1172125085
123ab29680
1323060940
141488330c
15c4860a0
hex85a8680

140150400 has 192 divisors, whose sum is σ = 497572320. Its totient is φ = 34467840.

The previous prime is 140150393. The next prime is 140150401. The reversal of 140150400 is 4051041.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 140150400.

It is not an unprimeable number, because it can be changed into a prime (140150401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124239 + ... + 125361.

Almost surely, 2140150400 is an apocalyptic number.

140150400 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 140150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248786160).

140150400 is an abundant number, since it is smaller than the sum of its proper divisors (357421920).

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

140150400 is a wasteful number, since it uses less digits than its factorization.

140150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 140150400 is about 11838.5134201892. The cubic root of 140150400 is about 519.4352843815.

The spelling of 140150400 in words is "one hundred forty million, one hundred fifty thousand, four hundred".