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2040401232 = 243314931699
BaseRepresentation
bin111100110011110…
…0000110101010000
312021012101010022000
41321213200311100
513134320314412
6534244514000
7101364060432
oct17147406520
95235333260
102040401232
11957831711
1248b3ab900
1326695170c
14154db4652
15be1e34dc
hex799e0d50

2040401232 has 80 divisors (see below), whose sum is σ = 5896200000. Its totient is φ = 675547776.

The previous prime is 2040401191. The next prime is 2040401257. The reversal of 2040401232 is 2321040402.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48519 + ... + 80217.

It is an arithmetic number, because the mean of its divisors is an integer number (73702500).

Almost surely, 22040401232 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 2040401232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2948100000).

2040401232 is an abundant number, since it is smaller than the sum of its proper divisors (3855798768).

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

2040401232 is a wasteful number, since it uses less digits than its factorization.

2040401232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31865 (or 31853 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2040401232 is about 45170.8006570616. The cubic root of 2040401232 is about 1268.3482840837.

Adding to 2040401232 its reverse (2321040402), we get a palindrome (4361441634).

The spelling of 2040401232 in words is "two billion, forty million, four hundred one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 149 216 298 432 447 596 894 1192 1341 1788 2384 2682 3576 4023 5364 7152 8046 10728 16092 21456 31699 32184 63398 64368 95097 126796 190194 253592 285291 380388 507184 570582 760776 855873 1141164 1521552 1711746 2282328 3423492 4564656 4723151 6846984 9446302 13693968 14169453 18892604 28338906 37785208 42508359 56677812 75570416 85016718 113355624 127525077 170033436 226711248 255050154 340066872 510100308 680133744 1020200616 2040401232