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64929920 = 2751123401
BaseRepresentation
bin1111011110110…
…0000010000000
311112011210002212
43313230002000
5113110224140
610235401252
71415616026
oct367540200
9145153085
1064929920
11337188a0
12198b3228
13105b4b93
1488a2716
155a78765
hex3dec080

64929920 has 128 divisors (see below), whose sum is σ = 177137280. Its totient is φ = 22528000.

The previous prime is 64929899. The next prime is 64929959. The reversal of 64929920 is 2992946.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×649299202 = 8431789022412800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161720 + ... + 162120.

It is an arithmetic number, because the mean of its divisors is an integer number (1383885).

Almost surely, 264929920 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 64929920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88568640).

64929920 is an abundant number, since it is smaller than the sum of its proper divisors (112207360).

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

64929920 is a wasteful number, since it uses less digits than its factorization.

64929920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 41.

The square root of 64929920 is about 8057.9103991047. The cubic root of 64929920 is about 401.9280251991.

The spelling of 64929920 in words is "sixty-four million, nine hundred twenty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 32 40 44 46 55 64 80 88 92 110 115 128 160 176 184 220 230 253 320 352 368 401 440 460 506 640 704 736 802 880 920 1012 1265 1408 1472 1604 1760 1840 2005 2024 2530 2944 3208 3520 3680 4010 4048 4411 5060 6416 7040 7360 8020 8096 8822 9223 10120 12832 14720 16040 16192 17644 18446 20240 22055 25664 32080 32384 35288 36892 40480 44110 46115 51328 64160 70576 73784 80960 88220 92230 101453 128320 141152 147568 161920 176440 184460 202906 256640 282304 295136 352880 368920 405812 507265 564608 590272 705760 737840 811624 1014530 1180544 1411520 1475680 1623248 2029060 2823040 2951360 3246496 4058120 5902720 6492992 8116240 12985984 16232480 32464960 64929920