Search a number
-
+
1332030040 = 2351127111171
BaseRepresentation
bin100111101100101…
…0010101001011000
310102211110010200221
41033121102221120
510211444430130
6340102005424
745003032335
oct11731225130
93384403627
101332030040
11623994980
12312116874
13182c70c73
14c8c9b98c
157be1a87a
hex4f652a58

1332030040 has 64 divisors (see below), whose sum is σ = 3281886720. Its totient is φ = 482544000.

The previous prime is 1332030023. The next prime is 1332030083. The reversal of 1332030040 is 400302331.

It is a junction number, because it is equal to n+sod(n) for n = 1332029996 and 1332030023.

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, 113655 + ... + 124825.

It is an arithmetic number, because the mean of its divisors is an integer number (51279480).

Almost surely, 21332030040 is an apocalyptic number.

1332030040 is a gapful number since it is divisible by the number (10) 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 1332030040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640943360).

1332030040 is an abundant number, since it is smaller than the sum of its proper divisors (1949856680).

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

1332030040 is a wasteful number, since it uses less digits than its factorization.

1332030040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11464 (or 11460 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 1332030040 is about 36496.9867249339. The cubic root of 1332030040 is about 1100.2836844087.

Adding to 1332030040 its reverse (400302331), we get a palindrome (1732332371).

The spelling of 1332030040 in words is "one billion, three hundred thirty-two million, thirty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 271 440 542 1084 1355 2168 2710 2981 5420 5962 10840 11171 11924 14905 22342 23848 29810 44684 55855 59620 89368 111710 119240 122881 223420 245762 446840 491524 614405 983048 1228810 2457620 3027341 4915240 6054682 12109364 15136705 24218728 30273410 33300751 60546820 66601502 121093640 133203004 166503755 266406008 333007510 666015020 1332030040