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142013104 = 241737103137
BaseRepresentation
bin10000111011011…
…11001010110000
3100220020000100121
420131233022300
5242323404404
622031500024
73343043242
oct1035571260
9326200317
10142013104
1173187602
123b687614
132356372c
1414c0a092
15c702e54
hex876f2b0

142013104 has 80 divisors (see below), whose sum is σ = 304319808. Its totient is φ = 63922176.

The previous prime is 142013099. The next prime is 142013107. The reversal of 142013104 is 401310241.

142013104 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 (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142013107) 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, 1036524 + ... + 1036660.

Almost surely, 2142013104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142013104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152159904).

142013104 is an abundant number, since it is smaller than the sum of its proper divisors (162306704).

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

142013104 is a wasteful number, since it uses less digits than its factorization.

142013104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 142013104 is about 11916.9251067547. The cubic root of 142013104 is about 521.7263922381.

Adding to 142013104 its reverse (401310241), we get a palindrome (543323345).

The spelling of 142013104 in words is "one hundred forty-two million, thirteen thousand, one hundred four".

Divisors: 1 2 4 8 16 17 34 37 68 74 103 136 137 148 206 272 274 296 412 548 592 629 824 1096 1258 1648 1751 2192 2329 2516 3502 3811 4658 5032 5069 7004 7622 9316 10064 10138 14008 14111 15244 18632 20276 28016 28222 30488 37264 40552 56444 60976 64787 81104 86173 112888 129574 172346 225776 239887 259148 344692 479774 518296 522107 689384 959548 1036592 1044214 1378768 1919096 2088428 3838192 4176856 8353712 8875819 17751638 35503276 71006552 142013104