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1995264 = 2932433
BaseRepresentation
bin111100111001000000000
310202100222200
413213020000
51002322024
6110433200
722650045
oct7471000
93670880
101995264
111143087
12802800
1354b23b
1439d1cc
152962c9
hex1e7200

1995264 has 60 divisors (see below), whose sum is σ = 5771766. Its totient is φ = 663552.

The previous prime is 1995263. The next prime is 1995271. The reversal of 1995264 is 4625991.

It can be written as a sum of positive squares in only one way, i.e., 1937664 + 57600 = 1392^2 + 240^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1995263) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4392 + ... + 4824.

21995264 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 1995264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2885883).

1995264 is an abundant number, since it is smaller than the sum of its proper divisors (3776502).

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

1995264 is an equidigital number, since it uses as much as digits as its factorization.

1995264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 438 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 1995264 is about 1412.5381410780. The cubic root of 1995264 is about 125.8925766188.

The spelling of 1995264 in words is "one million, nine hundred ninety-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 433 512 576 768 866 1152 1299 1536 1732 2304 2598 3464 3897 4608 5196 6928 7794 10392 13856 15588 20784 27712 31176 41568 55424 62352 83136 110848 124704 166272 221696 249408 332544 498816 665088 997632 1995264