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190350864 = 24331141977
BaseRepresentation
bin10110101100010…
…00011000010000
3111021011211022000
423112020120100
5342212211424
630515514000
74500645534
oct1326103020
9437154260
10190350864
11984a2470
12538b8900
1330589362
141b3cdbc4
1511aa03c9
hexb588610

190350864 has 160 divisors (see below), whose sum is σ = 611210880. Its totient is φ = 56217600.

The previous prime is 190350817. The next prime is 190350869. The reversal of 190350864 is 468053091.

190350864 is a `hidden beast` number, since 1 + 90 + 3 + 508 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (190350869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194344 + ... + 195320.

It is an arithmetic number, because the mean of its divisors is an integer number (3820068).

Almost surely, 2190350864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190350864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305605440).

190350864 is an abundant number, since it is smaller than the sum of its proper divisors (420860016).

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

190350864 is a wasteful number, since it uses less digits than its factorization.

190350864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 190350864 is about 13796.7700567923. The cubic root of 190350864 is about 575.2433641543.

The spelling of 190350864 in words is "one hundred ninety million, three hundred fifty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 41 44 48 54 66 72 82 88 99 108 123 132 144 164 176 198 216 246 264 297 328 369 396 432 451 492 528 594 656 738 792 902 977 984 1107 1188 1353 1476 1584 1804 1954 1968 2214 2376 2706 2931 2952 3608 3908 4059 4428 4752 5412 5862 5904 7216 7816 8118 8793 8856 10747 10824 11724 12177 15632 16236 17586 17712 21494 21648 23448 24354 26379 32241 32472 35172 40057 42988 46896 48708 52758 64482 64944 70344 80114 85976 96723 97416 105516 120171 128964 140688 160228 171952 193446 194832 211032 240342 257928 290169 320456 360513 386892 422064 440627 480684 515856 580338 640912 721026 773784 881254 961368 1081539 1160676 1321881 1442052 1547568 1762508 1922736 2163078 2321352 2643762 2884104 3525016 3965643 4326156 4642704 5287524 5768208 7050032 7931286 8652312 10575048 11896929 15862572 17304624 21150096 23793858 31725144 47587716 63450288 95175432 190350864