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101432340 = 223251035471
BaseRepresentation
bin1100000101110…
…11110000010100
321001212022000100
412002323300110
5201431313330
614022014100
72341106052
oct602736024
9231768010
10101432340
115228a689
1229b77330
1318025749
14d6851d2
158d89060
hex60bbc14

101432340 has 72 divisors (see below), whose sum is σ = 310722048. Its totient is φ = 26781120.

The previous prime is 101432333. The next prime is 101432347. The reversal of 101432340 is 43234101.

It is an interprime number because it is at equal distance from previous prime (101432333) and next prime (101432347).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101432347) 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, 15805 + ... + 21275.

It is an arithmetic number, because the mean of its divisors is an integer number (4315584).

Almost surely, 2101432340 is an apocalyptic number.

101432340 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 101432340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155361024).

101432340 is an abundant number, since it is smaller than the sum of its proper divisors (209289708).

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

101432340 is a wasteful number, since it uses less digits than its factorization.

101432340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5589 (or 5584 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 101432340 is about 10071.3623706031. The cubic root of 101432340 is about 466.3644971294.

Adding to 101432340 its reverse (43234101), we get a palindrome (144666441).

The spelling of 101432340 in words is "one hundred one million, four hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 103 180 206 309 412 515 618 927 1030 1236 1545 1854 2060 3090 3708 4635 5471 6180 9270 10942 16413 18540 21884 27355 32826 49239 54710 65652 82065 98478 109420 164130 196956 246195 328260 492390 563513 984780 1127026 1690539 2254052 2817565 3381078 5071617 5635130 6762156 8452695 10143234 11270260 16905390 20286468 25358085 33810780 50716170 101432340