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1010104432 = 24238930841
BaseRepresentation
bin111100001101001…
…111100001110000
32121101200121210021
4330031033201300
54032041320212
6244122013224
734013513611
oct7415174160
92541617707
101010104432
114791a5457
12242347214
1313136743c
149821bc08
155da2a307
hex3c34f870

1010104432 has 40 divisors (see below), whose sum is σ = 2065180320. Its totient is φ = 477649920.

The previous prime is 1010104427. The next prime is 1010104441. The reversal of 1010104432 is 2344010101.

1010104432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17332 + ... + 48172.

It is an arithmetic number, because the mean of its divisors is an integer number (51629508).

Almost surely, 21010104432 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 1010104432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032590160).

1010104432 is an abundant number, since it is smaller than the sum of its proper divisors (1055075888).

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

1010104432 is a wasteful number, since it uses less digits than its factorization.

1010104432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30961 (or 30955 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1010104432 is about 31782.1401419099. The cubic root of 1010104432 is about 1003.3568628628.

Adding to 1010104432 its reverse (2344010101), we get a palindrome (3354114533).

The spelling of 1010104432 in words is "one billion, ten million, one hundred four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 23 46 89 92 178 184 356 368 712 1424 2047 4094 8188 16376 30841 32752 61682 123364 246728 493456 709343 1418686 2744849 2837372 5489698 5674744 10979396 11349488 21958792 43917584 63131527 126263054 252526108 505052216 1010104432