Search a number
-
+
160042784 = 25113071481
BaseRepresentation
bin10011000101000…
…00111100100000
3102011011000102112
421202200330200
5311432332114
623514134452
73652225016
oct1142407440
9364130375
10160042784
1182381570
1245721428
1327207095
14173808b6
15e0b513e
hex98a0f20

160042784 has 48 divisors (see below), whose sum is σ = 345080736. Its totient is φ = 72460800.

The previous prime is 160042759. The next prime is 160042823. The reversal of 160042784 is 487240061.

It is a super-2 number, since 2×1600427842 = 51227385420941312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 160042784.

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, 107324 + ... + 108804.

It is an arithmetic number, because the mean of its divisors is an integer number (7189182).

Almost surely, 2160042784 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 160042784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172540368).

160042784 is an abundant number, since it is smaller than the sum of its proper divisors (185037952).

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

160042784 is a wasteful number, since it uses less digits than its factorization.

160042784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1809 (or 1801 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 160042784 is about 12650.8017137255. The cubic root of 160042784 is about 542.9319080246.

The spelling of 160042784 in words is "one hundred sixty million, forty-two thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 307 352 614 1228 1481 2456 2962 3377 4912 5924 6754 9824 11848 13508 16291 23696 27016 32582 47392 54032 65164 108064 130328 260656 454667 521312 909334 1818668 3637336 5001337 7274672 10002674 14549344 20005348 40010696 80021392 160042784