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158385240 = 233351329389
BaseRepresentation
bin10010111000011…
…00010001011000
3102001000210201000
421130030101120
5311021311430
623414425000
73632152356
oct1134142130
9361023630
10158385240
118144a1a2
1245062160
1326a767a0
141706c7d6
15dd88e60
hex970c458

158385240 has 256 divisors, whose sum is σ = 589680000. Its totient is φ = 37545984.

The previous prime is 158385233. The next prime is 158385287. The reversal of 158385240 is 42583851.

158385240 = T175 + T176 + ... + T984.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 158385195 and 158385204.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 406966 + ... + 407354.

Almost surely, 2158385240 is an apocalyptic number.

158385240 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 158385240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294840000).

158385240 is an abundant number, since it is smaller than the sum of its proper divisors (431294760).

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

158385240 is a wasteful number, since it uses less digits than its factorization.

158385240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 158385240 is about 12585.1197848888. The cubic root of 158385240 is about 541.0510393818.

The spelling of 158385240 in words is "one hundred fifty-eight million, three hundred eighty-five thousand, two hundred forty".