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1664127740 = 2251123311032
BaseRepresentation
bin110001100110000…
…1001001011111100
311021222100110002202
41203030021023330
511402004041430
6433044011032
756144565242
oct14314111374
94258313082
101664127740
117843a1890
123a5390a78
132069c9792
1411b028792
159b169d45
hex633092fc

1664127740 has 144 divisors (see below), whose sum is σ = 4146702336. Its totient is φ = 554716800.

The previous prime is 1664127719. The next prime is 1664127757. The reversal of 1664127740 is 477214661.

It is a happy number.

It is a super-2 number, since 2×16641277402 = 5538642270075015200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1664127694 and 1664127703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16156529 + ... + 16156631.

It is an arithmetic number, because the mean of its divisors is an integer number (28796544).

Almost surely, 21664127740 is an apocalyptic number.

1664127740 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 1664127740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2073351168).

1664127740 is an abundant number, since it is smaller than the sum of its proper divisors (2482574596).

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

1664127740 is a wasteful number, since it uses less digits than its factorization.

1664127740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 38.

The square root of 1664127740 is about 40793.7218208881. The cubic root of 1664127740 is about 1185.0287494434.

The spelling of 1664127740 in words is "one billion, six hundred sixty-four million, one hundred twenty-seven thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 23 31 44 46 55 62 92 103 110 115 124 155 206 220 230 253 310 341 412 460 506 515 620 682 713 1012 1030 1133 1265 1364 1426 1705 2060 2266 2369 2530 2852 3193 3410 3565 4532 4738 5060 5665 6386 6820 7130 7843 9476 10609 11330 11845 12772 14260 15686 15965 21218 22660 23690 26059 31372 31930 35123 39215 42436 47380 52118 53045 63860 70246 73439 78430 104236 106090 116699 130295 140492 146878 156860 175615 212180 233398 244007 260590 293756 328879 351230 367195 466796 488014 521180 583495 657758 702460 734390 807829 976028 1166990 1220035 1315516 1468780 1615658 1644395 2333980 2440070 2684077 3231316 3288790 3617669 4039145 4880140 5368154 6577580 7235338 7564217 8078290 10736308 13420385 14470676 15128434 16156580 18088345 26840770 30256868 36176690 37821085 53681540 72353380 75642170 83206387 151284340 166412774 332825548 416031935 832063870 1664127740