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150366040 = 23511563607
BaseRepresentation
bin10001111011001…
…10011101011000
3101110221101102121
420331212131120
5301443203130
622530511024
73504042646
oct1075463530
9343841377
10150366040
1177972260
1242435474
13251c96b6
1415d82196
15d302d7a
hex8f66758

150366040 has 64 divisors (see below), whose sum is σ = 370344960. Its totient is φ = 54491520.

The previous prime is 150366031. The next prime is 150366067. The reversal of 150366040 is 40663051.

It is a junction number, because it is equal to n+sod(n) for n = 150365996 and 150366014.

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, 247417 + ... + 248023.

It is an arithmetic number, because the mean of its divisors is an integer number (5786640).

Almost surely, 2150366040 is an apocalyptic number.

150366040 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 150366040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185172480).

150366040 is an abundant number, since it is smaller than the sum of its proper divisors (219978920).

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

150366040 is a wasteful number, since it uses less digits than its factorization.

150366040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 150366040 is about 12262.3831289028. The cubic root of 150366040 is about 531.7611285575.

The spelling of 150366040 in words is "one hundred fifty million, three hundred sixty-six thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 563 607 1126 1214 2252 2428 2815 3035 4504 4856 5630 6070 6193 6677 11260 12140 12386 13354 22520 24280 24772 26708 30965 33385 49544 53416 61930 66770 123860 133540 247720 267080 341741 683482 1366964 1708705 2733928 3417410 3759151 6834820 7518302 13669640 15036604 18795755 30073208 37591510 75183020 150366040