Search a number
-
+
142466104 = 231119139613
BaseRepresentation
bin10000111110111…
…01110000111000
3100221002000202101
420133131300320
5242432403404
622045313144
73346641034
oct1037356070
9327060671
10142466104
1173466990
123b8657b4
1323691991
1414cc71c4
15c7922a4
hex87ddc38

142466104 has 64 divisors (see below), whose sum is σ = 309456000. Its totient is φ = 60808320.

The previous prime is 142466099. The next prime is 142466119. The reversal of 142466104 is 401664241.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232102 + ... + 232714.

It is an arithmetic number, because the mean of its divisors is an integer number (4835250).

Almost surely, 2142466104 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 142466104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154728000).

142466104 is an abundant number, since it is smaller than the sum of its proper divisors (166989896).

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

142466104 is a wasteful number, since it uses less digits than its factorization.

142466104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 142466104 is about 11935.9165546681. The cubic root of 142466104 is about 522.2805457989.

It can be divided in two parts, 1424 and 66104, that added together give a triangular number (67528 = T367).

The spelling of 142466104 in words is "one hundred forty-two million, four hundred sixty-six thousand, one hundred four".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 139 152 209 278 418 556 613 836 1112 1226 1529 1672 2452 2641 3058 4904 5282 6116 6743 10564 11647 12232 13486 21128 23294 26972 29051 46588 53944 58102 85207 93176 116204 128117 170414 232408 256234 340828 512468 681656 937277 1024936 1618933 1874554 3237866 3749108 6475732 7498216 12951464 17808263 35616526 71233052 142466104