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1961024 = 26132357
BaseRepresentation
bin111011110110001000000
310200122000112
413132301000
51000223044
6110010452
722445162
oct7366100
93618015
101961024
11111a38a
127a6a28
13538790
14390932
1528b09e
hex1dec40

1961024 has 28 divisors (see below), whose sum is σ = 4192524. Its totient is φ = 904704.

The previous prime is 1961021. The next prime is 1961027. The reversal of 1961024 is 4201691.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1961021) and next prime (1961027).

It can be written as a sum of positive squares in 2 ways, for example, as 322624 + 1638400 = 568^2 + 1280^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1961021) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 347 + ... + 2010.

It is an arithmetic number, because the mean of its divisors is an integer number (149733).

21961024 is an apocalyptic number.

It is an amenable number.

1961024 is an abundant number, since it is smaller than the sum of its proper divisors (2231500).

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

1961024 is a wasteful number, since it uses less digits than its factorization.

1961024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2382 (or 2372 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 1961024 is about 1400.3656665314. The cubic root of 1961024 is about 125.1682853387.

It can be divided in two parts, 196 and 1024, that multiplied together give a square (200704 = 4482).

The spelling of 1961024 in words is "one million, nine hundred sixty-one thousand, twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 2357 4714 9428 18856 30641 37712 61282 75424 122564 150848 245128 490256 980512 1961024