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68896368 = 24323767193
BaseRepresentation
bin1000001101101…
…00011001110000
311210122022001100
410012310121300
5120114140433
610500404400
71464416022
oct406643160
9153568040
1068896368
1135987952
121b0a6700
13113733a8
149216012
1560adb13
hex41b4670

68896368 has 120 divisors (see below), whose sum is σ = 202022288. Its totient is φ = 21897216.

The previous prime is 68896367. The next prime is 68896369. The reversal of 68896368 is 86369886.

It is an interprime number because it is at equal distance from previous prime (68896367) and next prime (68896369).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68896361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 356880 + ... + 357072.

Almost surely, 268896368 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 68896368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101011144).

68896368 is an abundant number, since it is smaller than the sum of its proper divisors (133125920).

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

68896368 is a wasteful number, since it uses less digits than its factorization.

68896368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 302 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 68896368 is about 8300.3836055932. The cubic root of 68896368 is about 409.9511502379.

The spelling of 68896368 in words is "sixty-eight million, eight hundred ninety-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 67 72 74 111 134 144 148 193 201 222 268 296 333 386 402 444 536 579 592 603 666 772 804 888 1072 1158 1206 1332 1544 1608 1737 1776 2316 2412 2479 2664 3088 3216 3474 4632 4824 4958 5328 6948 7141 7437 9264 9648 9916 12931 13896 14282 14874 19832 21423 22311 25862 27792 28564 29748 38793 39664 42846 44622 51724 57128 59496 64269 77586 85692 89244 103448 114256 116379 118992 128538 155172 171384 178488 206896 232758 257076 310344 342768 356976 465516 478447 514152 620688 931032 956894 1028304 1435341 1862064 1913788 2870682 3827576 4306023 5741364 7655152 8612046 11482728 17224092 22965456 34448184 68896368