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64198890 = 23257181563
BaseRepresentation
bin1111010011100…
…1100011101010
311110210122022200
43310321203222
5112413331030
610212001030
71406452530
oct364714352
9143718280
1064198890
1133269638
1219600176
13103ba212
148752150
155981d60
hex3d398ea

64198890 has 96 divisors (see below), whose sum is σ = 192157056. Its totient is φ = 14567040.

The previous prime is 64198889. The next prime is 64198913. The reversal of 64198890 is 9889146.

64198890 = 152 + 162 + ... + 5772.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113749 + ... + 114311.

It is an arithmetic number, because the mean of its divisors is an integer number (2001636).

Almost surely, 264198890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64198890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96078528).

64198890 is an abundant number, since it is smaller than the sum of its proper divisors (127958166).

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

64198890 is a wasteful number, since it uses less digits than its factorization.

64198890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 64198890 is about 8012.4209824497. The cubic root of 64198890 is about 400.4139256827.

The spelling of 64198890 in words is "sixty-four million, one hundred ninety-eight thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 181 210 315 362 543 563 630 905 1086 1126 1267 1629 1689 1810 2534 2715 2815 3258 3378 3801 3941 5067 5430 5630 6335 7602 7882 8145 8445 10134 11403 11823 12670 16290 16890 19005 19705 22806 23646 25335 35469 38010 39410 50670 57015 59115 70938 101903 114030 118230 177345 203806 305709 354690 509515 611418 713321 917127 1019030 1426642 1528545 1834254 2139963 3057090 3566605 4279926 4585635 6419889 7133210 9171270 10699815 12839778 21399630 32099445 64198890