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150035424 = 25371120297
BaseRepresentation
bin10001111000101…
…01101111100000
3101110022120220120
420330111233200
5301402113144
622515440240
73501165030
oct1074255740
9343276816
10150035424
1177766920
12422b6080
1325112076
1415cd78c0
15d289e19
hex8f15be0

150035424 has 96 divisors (see below), whose sum is σ = 491049216. Its totient is φ = 38968320.

The previous prime is 150035393. The next prime is 150035467. The reversal of 150035424 is 424530051.

150035424 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 150035394 and 150035403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2757 + ... + 17540.

It is an arithmetic number, because the mean of its divisors is an integer number (5115096).

Almost surely, 2150035424 is an apocalyptic number.

150035424 is a gapful number since it is divisible by the number (14) 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 150035424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245524608).

150035424 is an abundant number, since it is smaller than the sum of its proper divisors (341013792).

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

150035424 is a wasteful number, since it uses less digits than its factorization.

150035424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20328 (or 20320 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 150035424 is about 12248.8948072877. The cubic root of 150035424 is about 531.3711075405.

Adding to 150035424 its reverse (424530051), we get a palindrome (574565475).

The spelling of 150035424 in words is "one hundred fifty million, thirty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 672 924 1056 1232 1848 2464 3696 7392 20297 40594 60891 81188 121782 142079 162376 223267 243564 284158 324752 426237 446534 487128 568316 649504 669801 852474 893068 974256 1136632 1339602 1562869 1704948 1786136 1948512 2273264 2679204 3125738 3409896 3572272 4546528 4688607 5358408 6251476 6819792 7144544 9377214 10716816 12502952 13639584 18754428 21433632 25005904 37508856 50011808 75017712 150035424