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648667320 = 233573312333
BaseRepresentation
bin100110101010011…
…110000010111000
31200012120201021120
4212222132002320
52312024323240
6144211105240
722034403240
oct4652360270
91605521246
10648667320
113031793a4
121612a2220
13a4508522
1462214b20
153be32ad0
hex26a9e0b8

648667320 has 128 divisors (see below), whose sum is σ = 2231677440. Its totient is φ = 147755520.

The previous prime is 648667309. The next prime is 648667363. The reversal of 648667320 is 23766846.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276874 + ... + 279206.

It is an arithmetic number, because the mean of its divisors is an integer number (17434980).

Almost surely, 2648667320 is an apocalyptic number.

648667320 is a gapful number since it is divisible by the number (60) 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 648667320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115838720).

648667320 is an abundant number, since it is smaller than the sum of its proper divisors (1583010120).

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

648667320 is a wasteful number, since it uses less digits than its factorization.

648667320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2685 (or 2681 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 648667320 is about 25468.9481526034. The cubic root of 648667320 is about 865.6466902687.

The spelling of 648667320 in words is "six hundred forty-eight million, six hundred sixty-seven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 331 420 662 840 993 1324 1655 1986 2317 2333 2648 3310 3972 4634 4666 4965 6620 6951 6999 7944 9268 9332 9930 11585 11665 13240 13902 13998 16331 18536 18664 19860 23170 23330 27804 27996 32662 34755 34995 39720 46340 46660 48993 55608 55992 65324 69510 69990 81655 92680 93320 97986 130648 139020 139980 163310 195972 244965 278040 279960 326620 391944 489930 653240 772223 979860 1544446 1959720 2316669 3088892 3861115 4633338 5405561 6177784 7722230 9266676 10811122 11583345 15444460 16216683 18533352 21622244 23166690 27027805 30888920 32433366 43244488 46333380 54055610 64866732 81083415 92666760 108111220 129733464 162166830 216222440 324333660 648667320