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65450640 = 24352371167
BaseRepresentation
bin1111100110101…
…1001010010000
311120011020101210
43321223022100
5113223410030
610254500120
71423215123
oct371531220
9146136353
1065450640
1133a44042
1219b04640
1310737bb8
14899a3ba
155b2cbb0
hex3e6b290

65450640 has 160 divisors (see below), whose sum is σ = 215986176. Its totient is φ = 16360960.

The previous prime is 65450603. The next prime is 65450657. The reversal of 65450640 is 4605456.

65450640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 65450598 and 65450607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 391837 + ... + 392003.

Almost surely, 265450640 is an apocalyptic number.

65450640 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 65450640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107993088).

65450640 is an abundant number, since it is smaller than the sum of its proper divisors (150535536).

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

65450640 is a wasteful number, since it uses less digits than its factorization.

65450640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 65450640 is about 8090.1569824077. The cubic root of 65450640 is about 402.9996161950. Note that the first 3 decimals are identical.

The spelling of 65450640 in words is "sixty-five million, four hundred fifty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 71 80 92 115 120 138 142 167 184 213 230 240 276 284 334 345 355 368 426 460 501 552 568 668 690 710 835 852 920 1002 1065 1104 1136 1336 1380 1420 1633 1670 1704 1840 2004 2130 2505 2672 2760 2840 3266 3340 3408 3841 4008 4260 4899 5010 5520 5680 6532 6680 7682 8016 8165 8520 9798 10020 11523 11857 13064 13360 15364 16330 17040 19205 19596 20040 23046 23714 24495 26128 30728 32660 35571 38410 39192 40080 46092 47428 48990 57615 59285 61456 65320 71142 76820 78384 92184 94856 97980 115230 118570 130640 142284 153640 177855 184368 189712 195960 230460 237140 272711 284568 307280 355710 391920 460920 474280 545422 569136 711420 818133 921840 948560 1090844 1363555 1422840 1636266 2181688 2727110 2845680 3272532 4090665 4363376 5454220 6545064 8181330 10908440 13090128 16362660 21816880 32725320 65450640