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1540100142 = 23471779889
BaseRepresentation
bin101101111001100…
…0001000000101110
310222022222012020000
41123303001000232
511123231201032
6412453405130
753110430610
oct13363010056
93868865200
101540100142
1172038a039
1236b9397a6
131b70c2579
14108780db0
159031ae7c
hex5bcc102e

1540100142 has 80 divisors (see below), whose sum is σ = 4176010080. Its totient is φ = 414139392.

The previous prime is 1540100141. The next prime is 1540100143. The reversal of 1540100142 is 2410010451.

It is an interprime number because it is at equal distance from previous prime (1540100141) and next prime (1540100143).

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 (1540100141) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20667 + ... + 59222.

It is an arithmetic number, because the mean of its divisors is an integer number (52200126).

Almost surely, 21540100142 is an apocalyptic number.

1540100142 is an abundant number, since it is smaller than the sum of its proper divisors (2635909938).

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

1540100142 is a wasteful number, since it uses less digits than its factorization.

1540100142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79927 (or 79918 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1540100142 is about 39244.1096471814. The cubic root of 1540100142 is about 1154.8253809214.

Adding to 1540100142 its reverse (2410010451), we get a palindrome (3950110593).

The spelling of 1540100142 in words is "one billion, five hundred forty million, one hundred thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 81 102 119 126 153 162 189 238 306 357 378 459 567 714 918 1071 1134 1377 2142 2754 3213 6426 9639 19278 79889 159778 239667 479334 559223 719001 1118446 1358113 1438002 1677669 2157003 2716226 3355338 4074339 4314006 5033007 6471009 8148678 9506791 10066014 12223017 12942018 15099021 19013582 24446034 28520373 30198042 36669051 45297063 57040746 73338102 85561119 90594126 110007153 171122238 220014306 256683357 513366714 770050071 1540100142