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4655640 = 2335113527
BaseRepresentation
bin10001110000101000011000
322202112100010
4101300220120
52142440030
6243441520
754400203
oct21605030
98675303
104655640
11269a940
1216862a0
13c70122
1489293a
1561e6b0
hex470a18

4655640 has 64 divisors (see below), whose sum is σ = 15240960. Its totient is φ = 1128320.

The previous prime is 4655617. The next prime is 4655657. The reversal of 4655640 is 465564.

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 4655598 and 4655607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 444 + ... + 3083.

It is an arithmetic number, because the mean of its divisors is an integer number (238140).

Almost surely, 24655640 is an apocalyptic number.

4655640 is a gapful number since it is divisible by the number (40) 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 4655640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7620480).

4655640 is an abundant number, since it is smaller than the sum of its proper divisors (10585320).

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

4655640 is a wasteful number, since it uses less digits than its factorization.

4655640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3552 (or 3548 counting only the distinct ones).

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

The square root of 4655640 is about 2157.6932126695. The cubic root of 4655640 is about 166.9782083988.

It can be divided in two parts, 465 and 5640, that added together give a triangular number (6105 = T110).

The spelling of 4655640 in words is "four million, six hundred fifty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 3527 7054 10581 14108 17635 21162 28216 35270 38797 42324 52905 70540 77594 84648 105810 116391 141080 155188 193985 211620 232782 310376 387970 423240 465564 581955 775940 931128 1163910 1551880 2327820 4655640