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1664653460 = 2251917924473
BaseRepresentation
bin110001100111000…
…1001100010010100
311022000100011020212
41203032021202110
511402122402320
6433103144552
756152215041
oct14316114224
94260304225
101664653460
11784720868
123a55a5158
13206b51b62
1411b1241c8
159b2209c5
hex63389894

1664653460 has 48 divisors (see below), whose sum is σ = 3700468800. Its totient is φ = 627266304.

The previous prime is 1664653457. The next prime is 1664653493. The reversal of 1664653460 is 643564661.

It is a super-2 number, since 2×16646534602 = 5542142283779943200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55784 + ... + 80256.

It is an arithmetic number, because the mean of its divisors is an integer number (77093100).

Almost surely, 21664653460 is an apocalyptic number.

1664653460 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 1664653460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850234400).

1664653460 is an abundant number, since it is smaller than the sum of its proper divisors (2035815340).

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

1664653460 is a wasteful number, since it uses less digits than its factorization.

1664653460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24680 (or 24678 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 41.

The square root of 1664653460 is about 40800.1649506470. The cubic root of 1664653460 is about 1185.1535250655.

The spelling of 1664653460 in words is "one billion, six hundred sixty-four million, six hundred fifty-three thousand, four hundred sixty".

Divisors: 1 2 4 5 10 19 20 38 76 95 179 190 358 380 716 895 1790 3401 3580 6802 13604 17005 24473 34010 48946 68020 97892 122365 244730 464987 489460 929974 1859948 2324935 4380667 4649870 8761334 9299740 17522668 21903335 43806670 83232673 87613340 166465346 332930692 416163365 832326730 1664653460