Search a number
-
+
142540104 = 233717291721
BaseRepresentation
bin10000111111011…
…11110101001000
3100221012210021010
420133233311020
5242442240404
622051043520
73350366550
oct1037576510
9327183233
10142540104
1173507543
123b8a05a0
13236b9575
1414d06160
15c7a9189
hex87efd48

142540104 has 128 divisors (see below), whose sum is σ = 446342400. Its totient is φ = 36986880.

The previous prime is 142540091. The next prime is 142540117. The reversal of 142540104 is 401045241.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (142540091) and next prime (142540117).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81964 + ... + 83684.

It is an arithmetic number, because the mean of its divisors is an integer number (3487050).

Almost surely, 2142540104 is an apocalyptic number.

142540104 is a gapful number since it is divisible by the number (14) 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 142540104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223171200).

142540104 is an abundant number, since it is smaller than the sum of its proper divisors (303802296).

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

142540104 is a wasteful number, since it uses less digits than its factorization.

142540104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783 (or 1779 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 142540104 is about 11939.0160398586. The cubic root of 142540104 is about 522.3709581135.

Adding to 142540104 its reverse (401045241), we get a palindrome (543585345).

The spelling of 142540104 in words is "one hundred forty-two million, five hundred forty thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 29 34 42 51 56 58 68 84 87 102 116 119 136 168 174 203 204 232 238 348 357 406 408 476 493 609 696 714 812 952 986 1218 1428 1479 1624 1721 1972 2436 2856 2958 3442 3451 3944 4872 5163 5916 6884 6902 10326 10353 11832 12047 13768 13804 20652 20706 24094 27608 29257 36141 41304 41412 48188 49909 58514 72282 82824 87771 96376 99818 117028 144564 149727 175542 199636 204799 234056 289128 299454 349363 351084 399272 409598 598908 614397 698726 702168 819196 848453 1048089 1197816 1228794 1397452 1638392 1696906 2096178 2457588 2545359 2794904 3393812 4192356 4915176 5090718 5939171 6787624 8384712 10181436 11878342 17817513 20362872 23756684 35635026 47513368 71270052 142540104