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64950240 = 2535472879
BaseRepresentation
bin1111011111000…
…0111111100000
311112012210222110
43313300333200
5113111401430
610240035320
71416032205
oct367607740
9145183873
1064950240
1133732093
1219902b40
13105c11c4
1488a9cac
155a7e7b0
hex3df0fe0

64950240 has 96 divisors (see below), whose sum is σ = 209018880. Its totient is φ = 16945664.

The previous prime is 64950203. The next prime is 64950247. The reversal of 64950240 is 4205946.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 64950198 and 64950207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64950247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21121 + ... + 23999.

It is an arithmetic number, because the mean of its divisors is an integer number (2177280).

Almost surely, 264950240 is an apocalyptic number.

64950240 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 64950240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104509440).

64950240 is an abundant number, since it is smaller than the sum of its proper divisors (144068640).

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

64950240 is a wasteful number, since it uses less digits than its factorization.

64950240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2944 (or 2936 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 64950240 is about 8059.1711732659. The cubic root of 64950240 is about 401.9699489925.

The spelling of 64950240 in words is "sixty-four million, nine hundred fifty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 80 94 96 120 141 160 188 235 240 282 376 470 480 564 705 752 940 1128 1410 1504 1880 2256 2820 2879 3760 4512 5640 5758 7520 8637 11280 11516 14395 17274 22560 23032 28790 34548 43185 46064 57580 69096 86370 92128 115160 135313 138192 172740 230320 270626 276384 345480 405939 460640 541252 676565 690960 811878 1082504 1353130 1381920 1623756 2029695 2165008 2706260 3247512 4059390 4330016 5412520 6495024 8118780 10825040 12990048 16237560 21650080 32475120 64950240