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140001120 = 253257171943
BaseRepresentation
bin10000101100000…
…11111101100000
3100202102210102200
420112003331200
5241320013440
621520413200
73316663350
oct1026037540
9322383380
10140001120
1172032a06
123aa77200
132300a9cc
1414844b60
15c456c30
hex8583f60

140001120 has 576 divisors, whose sum is σ = 622702080. Its totient is φ = 27869184.

The previous prime is 140001119. The next prime is 140001133. The reversal of 140001120 is 21100041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3255819 + ... + 3255861.

It is an arithmetic number, because the mean of its divisors is an integer number (1081080).

Almost surely, 2140001120 is an apocalyptic number.

140001120 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 140001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311351040).

140001120 is an abundant number, since it is smaller than the sum of its proper divisors (482700960).

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

140001120 is a wasteful number, since it uses less digits than its factorization.

140001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 140001120 is about 11832.2068947428. The cubic root of 140001120 is about 519.2507948465.

Adding to 140001120 its reverse (21100041), we get a palindrome (161101161).

The spelling of 140001120 in words is "one hundred forty million, one thousand, one hundred twenty".