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1001000140 = 225715147351
BaseRepresentation
bin111011101010100…
…000110011001100
32120202120002001021
4323222200303030
54022224001030
6243154523524
733543234520
oct7352406314
92522502037
101001000140
11474047248
1223b2965a4
1312c4ca49a
1496d2bd80
155cd2c97a
hex3baa0ccc

1001000140 has 48 divisors (see below), whose sum is σ = 2418361344. Its totient is φ = 340920000.

The previous prime is 1001000131. The next prime is 1001000141. The reversal of 1001000140 is 410001001.

It is a happy number.

1001000140 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 (7).

It is not an unprimeable number, because it can be changed into a prime (1001000141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2536 + ... + 44815.

It is an arithmetic number, because the mean of its divisors is an integer number (50382528).

Almost surely, 21001000140 is an apocalyptic number.

1001000140 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 1001000140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209180672).

1001000140 is an abundant number, since it is smaller than the sum of its proper divisors (1417361204).

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

1001000140 is a wasteful number, since it uses less digits than its factorization.

1001000140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47518 (or 47516 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 1001000140 is about 31638.5862516011. The cubic root of 1001000140 is about 1000.3332689195. Note that the first 3 decimals are identical.

Adding to 1001000140 its reverse (410001001), we get a palindrome (1411001141).

The spelling of 1001000140 in words is "one billion, one million, one hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 151 302 604 755 1057 1510 2114 3020 4228 5285 10570 21140 47351 94702 189404 236755 331457 473510 662914 947020 1325828 1657285 3314570 6629140 7150001 14300002 28600004 35750005 50050007 71500010 100100014 143000020 200200028 250250035 500500070 1001000140