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64984680 = 2334531647
BaseRepresentation
bin1111011111100…
…1011001101000
311112021120020000
43313321121220
5113114002210
610240503000
71416234465
oct367713150
9145246200
1064984680
1133755a52
121991aa60
1310603a97
1488b866c
155a89ac0
hex3df9668

64984680 has 160 divisors (see below), whose sum is σ = 225815040. Its totient is φ = 16744320.

The previous prime is 64984663. The next prime is 64984681. The reversal of 64984680 is 8648946.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (64984681) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 100117 + ... + 100763.

It is an arithmetic number, because the mean of its divisors is an integer number (1411344).

Almost surely, 264984680 is an apocalyptic number.

64984680 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 64984680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112907520).

64984680 is an abundant number, since it is smaller than the sum of its proper divisors (160830360).

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

64984680 is a wasteful number, since it uses less digits than its factorization.

64984680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 64984680 is about 8061.3075862418. The cubic root of 64984680 is about 402.0409849058.

The spelling of 64984680 in words is "sixty-four million, nine hundred eighty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 31 36 40 45 54 60 62 72 81 90 93 108 120 124 135 155 162 180 186 216 248 270 279 310 324 360 372 405 465 540 558 620 647 648 744 810 837 930 1080 1116 1240 1294 1395 1620 1674 1860 1941 2232 2511 2588 2790 3235 3240 3348 3720 3882 4185 5022 5176 5580 5823 6470 6696 7764 8370 9705 10044 11160 11646 12555 12940 15528 16740 17469 19410 20057 20088 23292 25110 25880 29115 33480 34938 38820 40114 46584 50220 52407 58230 60171 69876 77640 80228 87345 100285 100440 104814 116460 120342 139752 160456 174690 180513 200570 209628 232920 240684 262035 300855 349380 361026 401140 419256 481368 524070 541539 601710 698760 722052 802280 902565 1048140 1083078 1203420 1444104 1624617 1805130 2096280 2166156 2406840 2707695 3249234 3610260 4332312 5415390 6498468 7220520 8123085 10830780 12996936 16246170 21661560 32492340 64984680