Search a number
-
+
150671040 = 26351312073
BaseRepresentation
bin10001111101100…
…00111011000000
3101111111212210220
420332300323000
5302032433130
622541223040
73506453112
oct1076607300
9344455726
10150671040
1178060423
1242561a80
13252a5480
14160213b2
15d363410
hex8fb0ec0

150671040 has 112 divisors (see below), whose sum is σ = 515221728. Its totient is φ = 37085184.

The previous prime is 150671039. The next prime is 150671069. The reversal of 150671040 is 40176051.

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

It is a self number, because there is not a number n which added to its sum of digits gives 150671040.

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 15 ways as a sum of consecutive naturals, for example, 6444 + ... + 18516.

It is an arithmetic number, because the mean of its divisors is an integer number (4600194).

Almost surely, 2150671040 is an apocalyptic number.

150671040 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 150671040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257610864).

150671040 is an abundant number, since it is smaller than the sum of its proper divisors (364550688).

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

150671040 is a wasteful number, since it uses less digits than its factorization.

150671040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12106 (or 12096 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 150671040 is about 12274.8132368684. The cubic root of 150671040 is about 532.1204242432.

The spelling of 150671040 in words is "one hundred fifty million, six hundred seventy-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 192 195 208 240 260 312 320 390 416 480 520 624 780 832 960 1040 1248 1560 2080 2496 3120 4160 6240 12073 12480 24146 36219 48292 60365 72438 96584 120730 144876 156949 181095 193168 241460 289752 313898 362190 386336 470847 482920 579504 627796 724380 772672 784745 941694 965840 1159008 1255592 1448760 1569490 1883388 1931680 2318016 2354235 2511184 2897520 3138980 3766776 3863360 4708470 5022368 5795040 6277960 7533552 9416940 10044736 11590080 12555920 15067104 18833880 25111840 30134208 37667760 50223680 75335520 150671040