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68415408 = 24332943127
BaseRepresentation
bin1000001001111…
…10111110110000
311202201212022000
410010332332300
5120003243113
610442214000
71460343555
oct404767660
9152655260
1068415408
1135689566
121aab4300
13112354b9
14912ca2c
156016373
hex413efb0

68415408 has 160 divisors (see below), whose sum is σ = 209510400. Its totient is φ = 21337344.

The previous prime is 68415377. The next prime is 68415433. The reversal of 68415408 is 80451486.

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

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, 538641 + ... + 538767.

It is an arithmetic number, because the mean of its divisors is an integer number (1309440).

Almost surely, 268415408 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 68415408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104755200).

68415408 is an abundant number, since it is smaller than the sum of its proper divisors (141094992).

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

68415408 is a wasteful number, since it uses less digits than its factorization.

68415408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 68415408 is about 8271.3607103064. The cubic root of 68415408 is about 408.9949764549.

The spelling of 68415408 in words is "sixty-eight million, four hundred fifteen thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 43 48 54 58 72 86 87 108 116 127 129 144 172 174 216 232 254 258 261 344 348 381 387 432 464 508 516 522 688 696 762 774 783 1016 1032 1044 1143 1161 1247 1392 1524 1548 1566 2032 2064 2088 2286 2322 2494 3048 3096 3132 3429 3683 3741 4176 4572 4644 4988 5461 6096 6192 6264 6858 7366 7482 9144 9288 9976 10922 11049 11223 12528 13716 14732 14964 16383 18288 18576 19952 21844 22098 22446 27432 29464 29928 32766 33147 33669 43688 44196 44892 49149 54864 58928 59856 65532 66294 67338 87376 88392 89784 98298 99441 131064 132588 134676 147447 158369 176784 179568 196596 198882 262128 265176 269352 294894 316738 393192 397764 475107 530352 538704 589788 633476 786384 795528 950214 1179576 1266952 1425321 1591056 1900428 2359152 2533904 2850642 3800856 4275963 5701284 7601712 8551926 11402568 17103852 22805136 34207704 68415408