Search a number
-
+
1064952680 = 2351111321419
BaseRepresentation
bin111111011110011…
…110001101101000
32202012220012102212
4333132132031220
54140111441210
6253401344252
735250643211
oct7736361550
92665805385
101064952680
114a7157790
12258798088
1313c82c51c
14a1618408
1563761805
hex3f79e368

1064952680 has 64 divisors (see below), whose sum is σ = 2637230400. Its totient is φ = 383810560.

The previous prime is 1064952661. The next prime is 1064952683. The reversal of 1064952680 is 862594601.

It is a happy number.

It is a super-2 number, since 2×10649526802 = 2268248421278364800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1064952683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39011 + ... + 60429.

It is an arithmetic number, because the mean of its divisors is an integer number (41206725).

Almost surely, 21064952680 is an apocalyptic number.

1064952680 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 1064952680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318615200).

1064952680 is an abundant number, since it is smaller than the sum of its proper divisors (1572277720).

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

1064952680 is a wasteful number, since it uses less digits than its factorization.

1064952680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21554 (or 21550 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The square root of 1064952680 is about 32633.6127328863. The cubic root of 1064952680 is about 1021.1983480721.

The spelling of 1064952680 in words is "one billion, sixty-four million, nine hundred fifty-two thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 113 220 226 440 452 565 904 1130 1243 2260 2486 4520 4972 6215 9944 12430 21419 24860 42838 49720 85676 107095 171352 214190 235609 428380 471218 856760 942436 1178045 1884872 2356090 2420347 4712180 4840694 9424360 9681388 12101735 19362776 24203470 26623817 48406940 53247634 96813880 106495268 133119085 212990536 266238170 532476340 1064952680