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202134160 = 24519711873
BaseRepresentation
bin11000000110001…
…01001010010000
3112002100110221101
430003011022100
5403221243120
632020234144
75003053264
oct1403051220
9462313841
10202134160
11a4110428
125783b954
1332b53817
141cbba0a4
1512b2b90a
hexc0c5290

202134160 has 80 divisors (see below), whose sum is σ = 501932160. Its totient is φ = 75479040.

The previous prime is 202134157. The next prime is 202134161. The reversal of 202134160 is 61431202.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (202134161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106984 + ... + 108856.

It is an arithmetic number, because the mean of its divisors is an integer number (6274152).

Almost surely, 2202134160 is an apocalyptic number.

202134160 is a gapful number since it is divisible by the number (20) 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 202134160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250966080).

202134160 is an abundant number, since it is smaller than the sum of its proper divisors (299798000).

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

202134160 is a wasteful number, since it uses less digits than its factorization.

202134160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976 (or 1970 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 202134160 is about 14217.3893524796. The cubic root of 202134160 is about 586.8762996240.

Adding to 202134160 its reverse (61431202), we get a palindrome (263565362).

The spelling of 202134160 in words is "two hundred two million, one hundred thirty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 71 76 80 95 142 152 190 284 304 355 380 568 710 760 1136 1349 1420 1520 1873 2698 2840 3746 5396 5680 6745 7492 9365 10792 13490 14984 18730 21584 26980 29968 35587 37460 53960 71174 74920 107920 132983 142348 149840 177935 265966 284696 355870 531932 569392 664915 711740 1063864 1329830 1423480 2127728 2526677 2659660 2846960 5053354 5319320 10106708 10638640 12633385 20213416 25266770 40426832 50533540 101067080 202134160