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150429160 = 23571075021
BaseRepresentation
bin10001111011101…
…01110111101000
3101111001121000101
420331311313220
5302002213120
622532115144
73504424660
oct1075656750
9344047011
10150429160
1177a05722
1242465ab4
132521c34b
1415d9b1a0
15d31690a
hex8f75de8

150429160 has 64 divisors (see below), whose sum is σ = 390510720. Its totient is φ = 51083520.

The previous prime is 150429157. The next prime is 150429197. The reversal of 150429160 is 61924051.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27450 + ... + 32470.

It is an arithmetic number, because the mean of its divisors is an integer number (6101730).

Almost surely, 2150429160 is an apocalyptic number.

150429160 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 150429160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195255360).

150429160 is an abundant number, since it is smaller than the sum of its proper divisors (240081560).

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

150429160 is a wasteful number, since it uses less digits than its factorization.

150429160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5146 (or 5142 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 150429160 is about 12264.9565836981. The cubic root of 150429160 is about 531.8355249371.

The spelling of 150429160 in words is "one hundred fifty million, four hundred twenty-nine thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 107 140 214 280 428 535 749 856 1070 1498 2140 2996 3745 4280 5021 5992 7490 10042 14980 20084 25105 29960 35147 40168 50210 70294 100420 140588 175735 200840 281176 351470 537247 702940 1074494 1405880 2148988 2686235 3760729 4297976 5372470 7521458 10744940 15042916 18803645 21489880 30085832 37607290 75214580 150429160