Search a number
-
+
1041681984 = 26372263421
BaseRepresentation
bin111110000101101…
…100111001000000
32200121002221001020
4332011230321000
54113132310414
6251210505440
734546102500
oct7605547100
92617087036
101041681984
11495003102
12250a35280
13137a72495
149c4bba00
15616b67a9
hex3e16ce40

1041681984 has 168 divisors, whose sum is σ = 3225930048. Its totient is φ = 295787520.

The previous prime is 1041681947. The next prime is 1041681989. The reversal of 1041681984 is 4891861401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1041681989) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2474094 + ... + 2474514.

Almost surely, 21041681984 is an apocalyptic number.

1041681984 is a gapful number since it is divisible by the number (14) 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 1041681984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612965024).

1041681984 is an abundant number, since it is smaller than the sum of its proper divisors (2184248064).

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

1041681984 is a wasteful number, since it uses less digits than its factorization.

1041681984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The square root of 1041681984 is about 32275.0985126304. The cubic root of 1041681984 is about 1013.7053012707.

The spelling of 1041681984 in words is "one billion, forty-one million, six hundred eighty-one thousand, nine hundred eighty-four".