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150421120 = 275613853
BaseRepresentation
bin10001111011100…
…11111010000000
3101111001011222121
420331303322000
5302001433440
622532014024
73504362353
oct1075637200
9344034877
10150421120
11779aa683
1242461314
13252187a5
1415d9829a
15d31434a
hex8f73e80

150421120 has 64 divisors (see below), whose sum is σ = 365590440. Its totient is φ = 59166720.

The previous prime is 150421109. The next prime is 150421121. The reversal of 150421120 is 21124051.

150421120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 125260864 + 25160256 = 11192^2 + 5016^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 150421094 and 150421103.

It is not an unprimeable number, because it can be changed into a prime (150421121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37114 + ... + 40966.

Almost surely, 2150421120 is an apocalyptic number.

150421120 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 150421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182795220).

150421120 is an abundant number, since it is smaller than the sum of its proper divisors (215169320).

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

150421120 is an equidigital number, since it uses as much as digits as its factorization.

150421120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3933 (or 3921 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 150421120 is about 12264.6288162341. The cubic root of 150421120 is about 531.8260497489.

Adding to 150421120 its reverse (21124051), we get a palindrome (171545171).

The spelling of 150421120 in words is "one hundred fifty million, four hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 128 160 244 305 320 488 610 640 976 1220 1952 2440 3853 3904 4880 7706 7808 9760 15412 19265 19520 30824 38530 39040 61648 77060 123296 154120 235033 246592 308240 470066 493184 616480 940132 1175165 1232960 1880264 2350330 2465920 3760528 4700660 7521056 9401320 15042112 18802640 30084224 37605280 75210560 150421120