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150752430 = 232517372663
BaseRepresentation
bin10001111110001…
…00110010101110
3101111200000110100
420333010302232
5302043034210
622543051530
73510242313
oct1077046256
9344600410
10150752430
1178106594
12425a0ba6
132530352a
1416042d0a
15d37c5c0
hex8fc4cae

150752430 has 96 divisors (see below), whose sum is σ = 426389184. Its totient is φ = 36799488.

The previous prime is 150752423. The next prime is 150752431. The reversal of 150752430 is 34257051.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 150752394 and 150752403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150752431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55279 + ... + 57941.

It is an arithmetic number, because the mean of its divisors is an integer number (4441554).

Almost surely, 2150752430 is an apocalyptic number.

150752430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 150752430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213194592).

150752430 is an abundant number, since it is smaller than the sum of its proper divisors (275636754).

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

150752430 is a wasteful number, since it uses less digits than its factorization.

150752430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2730 (or 2727 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 150752430 is about 12278.1281146598. The cubic root of 150752430 is about 532.2162212089.

The spelling of 150752430 in words is "one hundred fifty million, seven hundred fifty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 37 45 51 74 85 90 102 111 153 170 185 222 255 306 333 370 510 555 629 666 765 1110 1258 1530 1665 1887 2663 3145 3330 3774 5326 5661 6290 7989 9435 11322 13315 15978 18870 23967 26630 28305 39945 45271 47934 56610 79890 90542 98531 119835 135813 197062 226355 239670 271626 295593 407439 452710 492655 591186 679065 814878 886779 985310 1358130 1477965 1675027 1773558 2037195 2955930 3350054 4074390 4433895 5025081 8375135 8867790 10050162 15075243 16750270 25125405 30150486 50250810 75376215 150752430