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665003640 = 233572927299
BaseRepresentation
bin100111101000110…
…010011001111000
31201100022200111110
4213220302121320
52330220104030
6145553200320
722323303060
oct4750623170
91640280443
10665003640
11311417094
121668600a0
13a7a081a2
14644683a0
153d5ad1b0
hex27a32678

665003640 has 128 divisors (see below), whose sum is σ = 2358720000. Its totient is φ = 146754048.

The previous prime is 665003597. The next prime is 665003681. The reversal of 665003640 is 46300566.

665003640 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 = 665003598 and 665003607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10711 + ... + 38009.

It is an arithmetic number, because the mean of its divisors is an integer number (18427500).

Almost surely, 2665003640 is an apocalyptic number.

665003640 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 665003640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179360000).

665003640 is an abundant number, since it is smaller than the sum of its proper divisors (1693716360).

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

665003640 is a wasteful number, since it uses less digits than its factorization.

665003640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27349 (or 27345 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 665003640 is about 25787.6644929315. The cubic root of 665003640 is about 872.8534660875.

The spelling of 665003640 in words is "six hundred sixty-five million, three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 29 30 35 40 42 56 58 60 70 84 87 105 116 120 140 145 168 174 203 210 232 280 290 348 406 420 435 580 609 696 812 840 870 1015 1160 1218 1624 1740 2030 2436 3045 3480 4060 4872 6090 8120 12180 24360 27299 54598 81897 109196 136495 163794 191093 218392 272990 327588 382186 409485 545980 573279 655176 764372 791671 818970 955465 1091960 1146558 1528744 1583342 1637940 1910930 2293116 2375013 2866395 3166684 3275880 3821860 3958355 4586232 4750026 5541697 5732790 6333368 7643720 7916710 9500052 11083394 11465580 11875065 15833420 16625091 19000104 22166788 22931160 23750130 27708485 31666840 33250182 44333576 47500260 55416970 66500364 83125455 95000520 110833940 133000728 166250910 221667880 332501820 665003640