Search a number
-
+
158004900 = 2232524192
BaseRepresentation
bin10010110101011…
…11011010100100
3102000022110222100
421122233122210
5310422124100
623402332100
73626006454
oct1132573244
9360273870
10158004900
118120a469
1244aba030
1326972631
1416dadd64
15dd11400
hex96af6a4

158004900 has 81 divisors (see below), whose sum is σ = 496442401. Its totient is φ = 42034080.

The previous prime is 158004887. The next prime is 158004901. The reversal of 158004900 is 9400851.

The square root of 158004900 is 12570.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 56881764 + 101123136 = 7542^2 + 10056^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (158004901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 376891 + ... + 377309.

Almost surely, 2158004900 is an apocalyptic number.

158004900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

158004900 is the 12570-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 158004900

158004900 is an abundant number, since it is smaller than the sum of its proper divisors (338437501).

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

158004900 is a wasteful number, since it uses less digits than its factorization.

158004900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The cubic root of 158004900 is about 540.6176061225.

The spelling of 158004900 in words is "one hundred fifty-eight million, four thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 419 450 838 900 1257 1676 2095 2514 3771 4190 5028 6285 7542 8380 10475 12570 15084 18855 20950 25140 31425 37710 41900 62850 75420 94275 125700 175561 188550 351122 377100 526683 702244 877805 1053366 1580049 1755610 2106732 2633415 3160098 3511220 4389025 5266830 6320196 7900245 8778050 10533660 13167075 15800490 17556100 26334150 31600980 39501225 52668300 79002450 158004900