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64198680 = 23357135879
BaseRepresentation
bin1111010011100…
…1100000011000
311110210122000220
43310321200120
5112413324210
610212000040
71406452110
oct364714030
9143718026
1064198680
1133269467
1219600020
13103ba0b0
148752040
155981c70
hex3d39818

64198680 has 128 divisors (see below), whose sum is σ = 237081600. Its totient is φ = 13542912.

The previous prime is 64198669. The next prime is 64198703. The reversal of 64198680 is 8689146.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 7981 + ... + 13859.

It is an arithmetic number, because the mean of its divisors is an integer number (1852200).

Almost surely, 264198680 is an apocalyptic number.

64198680 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 64198680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118540800).

64198680 is an abundant number, since it is smaller than the sum of its proper divisors (172882920).

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

64198680 is a wasteful number, since it uses less digits than its factorization.

64198680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5913 (or 5909 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 64198680 is about 8012.4078777856. The cubic root of 64198680 is about 400.4134890863.

The spelling of 64198680 in words is "sixty-four million, one hundred ninety-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 260 273 280 312 364 390 420 455 520 546 728 780 840 910 1092 1365 1560 1820 2184 2730 3640 5460 5879 10920 11758 17637 23516 29395 35274 41153 47032 58790 70548 76427 82306 88185 117580 123459 141096 152854 164612 176370 205765 229281 235160 246918 305708 329224 352740 382135 411530 458562 493836 534989 611416 617295 705480 764270 823060 917124 987672 1069978 1146405 1234590 1528540 1604967 1646120 1834248 2139956 2292810 2469180 2674945 3057080 3209934 4279912 4585620 4938360 5349890 6419868 8024835 9171240 10699780 12839736 16049670 21399560 32099340 64198680