Search a number
-
+
42054180 = 22357100129
BaseRepresentation
bin1010000001101…
…1001000100100
32221010120111020
42200123020210
541231213210
64101211140
71020311640
oct240331044
987116436
1042054180
1121813a23
1212100ab0
13893583c
145829c20
153a5a770
hex281b224

42054180 has 48 divisors (see below), whose sum is σ = 134574720. Its totient is φ = 9612288.

The previous prime is 42054157. The next prime is 42054203. The reversal of 42054180 is 8145024.

It is an interprime number because it is at equal distance from previous prime (42054157) and next prime (42054203).

It is a self number, because there is not a number n which added to its sum of digits gives 42054180.

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, 49645 + ... + 50484.

It is an arithmetic number, because the mean of its divisors is an integer number (2803640).

Almost surely, 242054180 is an apocalyptic number.

It is an amenable number.

42054180 is an abundant number, since it is smaller than the sum of its proper divisors (92520540).

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

42054180 is a wasteful number, since it uses less digits than its factorization.

42054180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100148 (or 100146 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 42054180 is about 6484.9194289521. The cubic root of 42054180 is about 347.7520694087.

It can be divided in two parts, 4205 and 4180, that added together give a triangular number (8385 = T129).

The spelling of 42054180 in words is "forty-two million, fifty-four thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 100129 200258 300387 400516 500645 600774 700903 1001290 1201548 1401806 1501935 2002580 2102709 2803612 3003870 3504515 4205418 6007740 7009030 8410836 10513545 14018060 21027090 42054180