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150673120 = 25513107677
BaseRepresentation
bin10001111101100…
…01011011100000
3101111111222122221
420332301123200
5302033014440
622541240424
73506462143
oct1076613340
9344458587
10150673120
1178061a44
1242563114
13252a63c0
141602205a
15d363d4a
hex8fb16e0

150673120 has 96 divisors (see below), whose sum is σ = 387501408. Its totient is φ = 55031808.

The previous prime is 150673093. The next prime is 150673123. The reversal of 150673120 is 21376051.

150673120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150673123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222222 + ... + 222898.

It is an arithmetic number, because the mean of its divisors is an integer number (4036473).

Almost surely, 2150673120 is an apocalyptic number.

150673120 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 150673120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193750704).

150673120 is an abundant number, since it is smaller than the sum of its proper divisors (236828288).

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

150673120 is a wasteful number, since it uses less digits than its factorization.

150673120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 150673120 is about 12274.8979629160. The cubic root of 150673120 is about 532.1228728567.

The spelling of 150673120 in words is "one hundred fifty million, six hundred seventy-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 107 130 160 208 214 260 416 428 520 535 677 856 1040 1070 1354 1391 1712 2080 2140 2708 2782 3385 3424 4280 5416 5564 6770 6955 8560 8801 10832 11128 13540 13910 17120 17602 21664 22256 27080 27820 35204 44005 44512 54160 55640 70408 72439 88010 108320 111280 140816 144878 176020 222560 281632 289756 352040 362195 579512 704080 724390 941707 1159024 1408160 1448780 1883414 2318048 2897560 3766828 4708535 5795120 7533656 9417070 11590240 15067312 18834140 30134624 37668280 75336560 150673120