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1905152 = 29612
BaseRepresentation
bin111010001001000000000
310120210101012
413101020000
5441431102
6104500052
722123244
oct7211000
93523335
101905152
111091407
1277a628
13519212
14378424
15279752
hex1d1200

1905152 has 30 divisors (see below), whose sum is σ = 3870009. Its totient is φ = 936960.

The previous prime is 1905131. The next prime is 1905157. The reversal of 1905152 is 2515091.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1290496 + 614656 = 1136^2 + 784^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=976.

It is a Duffinian number.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (1905157) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 31202 + ... + 31262.

21905152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1905152

1905152 is an abundant number, since it is smaller than the sum of its proper divisors (1964857).

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

1905152 is an frugal number, since it uses more digits than its factorization.

1905152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 23.

The square root of 1905152 is about 1380.2724368761. The cubic root of 1905152 is about 123.9680805806.

Multiplying 1905152 by its product of nonzero digits (450), we get a square (857318400 = 292802).

The spelling of 1905152 in words is "one million, nine hundred five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 256 488 512 976 1952 3721 3904 7442 7808 14884 15616 29768 31232 59536 119072 238144 476288 952576 1905152