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150778080 = 25325104707
BaseRepresentation
bin10001111110010…
…11000011100000
3101111201022122100
420333023003200
5302044344310
622543410400
73510410145
oct1077130340
9344638570
10150778080
1178123892
12425b3a00
13253120cb
141604c3cc
15d384ec0
hex8fcb0e0

150778080 has 72 divisors (see below), whose sum is σ = 514535112. Its totient is φ = 40207104.

The previous prime is 150778051. The next prime is 150778109. The reversal of 150778080 is 80877051.

150778080 is a `hidden beast` number, since 1 + 507 + 78 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (150778051) and next prime (150778109).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50914 + ... + 53793.

It is an arithmetic number, because the mean of its divisors is an integer number (7146321).

Almost surely, 2150778080 is an apocalyptic number.

150778080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150778080 is an abundant number, since it is smaller than the sum of its proper divisors (363757032).

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

150778080 is a wasteful number, since it uses less digits than its factorization.

150778080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104728 (or 104717 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The square root of 150778080 is about 12279.1726105630. The cubic root of 150778080 is about 532.2464044082.

The spelling of 150778080 in words is "one hundred fifty million, seven hundred seventy-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 104707 209414 314121 418828 523535 628242 837656 942363 1047070 1256484 1570605 1675312 1884726 2094140 2512968 3141210 3350624 3769452 4188280 4711815 5025936 6282420 7538904 8376560 9423630 10051872 12564840 15077808 16753120 18847260 25129680 30155616 37694520 50259360 75389040 150778080