Search a number
-
+
380270560752 = 24324675654749
BaseRepresentation
bin1011000100010011110…
…01000100010111110000
31100100112201011000022200
411202021321010113300
522212243230421002
6450405513503200
736321313301655
oct5421171042760
91310481130280
10380270560752
111372a98aa705
1261847a11b00
1329b23024834
1414595bc9c2c
159d597c3b1c
hex5889e445f0

380270560752 has 60 divisors (see below), whose sum is σ = 1066508469000. Its totient is φ = 126485403264.

The previous prime is 380270560739. The next prime is 380270560781. The reversal of 380270560752 is 257065072083.

380270560752 is a `hidden beast` number, since 3 + 80 + 2 + 7 + 0 + 560 + 7 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 380270560698 and 380270560707.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2760127 + ... + 2894622.

It is an arithmetic number, because the mean of its divisors is an integer number (17775141150).

Almost surely, 2380270560752 is an apocalyptic number.

It is an amenable number.

380270560752 is an abundant number, since it is smaller than the sum of its proper divisors (686237908248).

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

380270560752 is a wasteful number, since it uses less digits than its factorization.

380270560752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5655230 (or 5655221 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 380270560752 in words is "three hundred eighty billion, two hundred seventy million, five hundred sixty thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 467 934 1401 1868 2802 3736 4203 5604 7472 8406 11208 16812 22416 33624 67248 5654749 11309498 16964247 22618996 33928494 45237992 50892741 67856988 90475984 101785482 135713976 203570964 271427952 407141928 814283856 2640767783 5281535566 7922303349 10563071132 15844606698 21126142264 23766910047 31689213396 42252284528 47533820094 63378426792 95067640188 126756853584 190135280376 380270560752