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1660742688 = 253114913203
BaseRepresentation
bin110001011111100…
…1110110000100000
311021201222110200110
41202333032300200
511400122231223
6432443251320
756104036263
oct14277166040
94251873613
101660742688
1178249a620
123a4219b40
132060b2aa7
1411a7c6cda
159abebd93
hex62fcec20

1660742688 has 96 divisors (see below), whose sum is σ = 4766936832. Its totient is φ = 502073600.

The previous prime is 1660742687. The next prime is 1660742701. The reversal of 1660742688 is 8862470661.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1660742687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 516895 + ... + 520097.

It is an arithmetic number, because the mean of its divisors is an integer number (49655592).

Almost surely, 21660742688 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 1660742688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2383468416).

1660742688 is an abundant number, since it is smaller than the sum of its proper divisors (3106194144).

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

1660742688 is a wasteful number, since it uses less digits than its factorization.

1660742688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3718 (or 3710 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 1660742688 is about 40752.2108357326. The cubic root of 1660742688 is about 1184.2247032132.

It can be divided in two parts, 16607 and 42688, that added together give a palindrome (59295).

The spelling of 1660742688 in words is "one billion, six hundred sixty million, seven hundred forty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 491 528 982 1056 1473 1964 2946 3203 3928 5401 5892 6406 7856 9609 10802 11784 12812 15712 16203 19218 21604 23568 25624 32406 35233 38436 43208 47136 51248 64812 70466 76872 86416 102496 105699 129624 140932 153744 172832 211398 259248 281864 307488 422796 518496 563728 845592 1127456 1572673 1691184 3145346 3382368 4718019 6290692 9436038 12581384 17299403 18872076 25162768 34598806 37744152 50325536 51898209 69197612 75488304 103796418 138395224 150976608 207592836 276790448 415185672 553580896 830371344 1660742688