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660021984 = 253223372693
BaseRepresentation
bin100111010101110…
…010001011100000
31200222221120221200
4213111302023200
52322431200414
6145254321200
722233044226
oct4725621340
91628846850
10660021984
11309624316
12165059200
13a698286b
146392cb16
153ce27109
hex275722e0

660021984 has 144 divisors (see below), whose sum is σ = 2012224032. Its totient is φ = 204678144.

The previous prime is 660021983. The next prime is 660021997. The reversal of 660021984 is 489120066.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (660021983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243742 + ... + 246434.

It is an arithmetic number, because the mean of its divisors is an integer number (13973778).

Almost surely, 2660021984 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 660021984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1006112016).

660021984 is an abundant number, since it is smaller than the sum of its proper divisors (1352202048).

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

660021984 is a wasteful number, since it uses less digits than its factorization.

660021984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2769 (or 2758 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 660021984 is about 25690.8930167871. The cubic root of 660021984 is about 870.6684359607.

The spelling of 660021984 in words is "six hundred sixty million, twenty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 37 46 48 69 72 74 92 96 111 138 144 148 184 207 222 276 288 296 333 368 414 444 552 592 666 736 828 851 888 1104 1184 1332 1656 1702 1776 2208 2553 2664 2693 3312 3404 3552 5106 5328 5386 6624 6808 7659 8079 10212 10656 10772 13616 15318 16158 20424 21544 24237 27232 30636 32316 40848 43088 48474 61272 61939 64632 81696 86176 96948 99641 122544 123878 129264 185817 193896 199282 245088 247756 258528 298923 371634 387792 398564 495512 557451 597846 743268 775584 797128 896769 991024 1114902 1195692 1486536 1594256 1793538 1982048 2229804 2291743 2391384 2973072 3188512 3587076 4459608 4583486 4782768 5946144 6875229 7174152 8919216 9166972 9565536 13750458 14348304 17838432 18333944 20625687 27500916 28696608 36667888 41251374 55001832 73335776 82502748 110003664 165005496 220007328 330010992 660021984