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158385040 = 24511211853
BaseRepresentation
bin10010111000011…
…00001110010000
3102001000210102121
421130030032100
5311021310130
623414424024
73632151652
oct1134141620
9361023377
10158385040
118144a030
1245062014
1326a76678
141706c6d2
15dd88d7a
hex970c390

158385040 has 80 divisors (see below), whose sum is σ = 404099136. Its totient is φ = 57254400.

The previous prime is 158385013. The next prime is 158385043. The reversal of 158385040 is 40583851.

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

It is a junction number, because it is equal to n+sod(n) for n = 158384987 and 158385005.

It is not an unprimeable number, because it can be changed into a prime (158385043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185254 + ... + 186106.

Almost surely, 2158385040 is an apocalyptic number.

158385040 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 158385040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202049568).

158385040 is an abundant number, since it is smaller than the sum of its proper divisors (245714096).

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

158385040 is a wasteful number, since it uses less digits than its factorization.

158385040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The square root of 158385040 is about 12585.1118389945. Note that the first 3 decimals coincide. The cubic root of 158385040 is about 541.0508116454.

The spelling of 158385040 in words is "one hundred fifty-eight million, three hundred eighty-five thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 211 220 422 440 844 853 880 1055 1688 1706 2110 2321 3376 3412 4220 4265 4642 6824 8440 8530 9284 9383 11605 13648 16880 17060 18568 18766 23210 34120 37136 37532 46420 46915 68240 75064 92840 93830 150128 179983 185680 187660 359966 375320 719932 750640 899915 1439864 1799830 1979813 2879728 3599660 3959626 7199320 7919252 9899065 14398640 15838504 19798130 31677008 39596260 79192520 158385040