Search a number
-
+
142175040 = 2635721157
BaseRepresentation
bin10000111100101…
…10101101000000
3100220112020111020
420132112231000
5242344100130
622035145440
73344316330
oct1036265500
9326466436
10142175040
1173288237
123b745280
13235bc357
1414c4d0c0
15c735e10
hex8796b40

142175040 has 112 divisors (see below), whose sum is σ = 515916672. Its totient is φ = 32495616.

The previous prime is 142175039. The next prime is 142175051. The reversal of 142175040 is 40571241.

142175040 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 142175040.

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, 3859 + ... + 17298.

Almost surely, 2142175040 is an apocalyptic number.

142175040 is a gapful number since it is divisible by the number (10) 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 142175040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257958336).

142175040 is an abundant number, since it is smaller than the sum of its proper divisors (373741632).

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

142175040 is a wasteful number, since it uses less digits than its factorization.

142175040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21184 (or 21174 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 142175040 is about 11923.7175411027. The cubic root of 142175040 is about 521.9246232231.

The spelling of 142175040 in words is "one hundred forty-two million, one hundred seventy-five thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 21157 42314 63471 84628 105785 126942 148099 169256 211570 253884 296198 317355 338512 423140 444297 507768 592396 634710 677024 740495 846280 888594 1015536 1184792 1269420 1354048 1480990 1692560 1777188 2031072 2221485 2369584 2538840 2961980 3385120 3554376 4062144 4442970 4739168 5077680 5923960 6770240 7108752 8885940 9478336 10155360 11847920 14217504 17771880 20310720 23695840 28435008 35543760 47391680 71087520 142175040