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68791296 = 210372457
BaseRepresentation
bin1000001100110…
…10110000000000
311210102221220210
410012122300000
5120102310141
610454234120
71463500500
oct406326000
9153387823
1068791296
1135915a12
121b055940
1311337612
1491c9a00
15608c916
hex419ac00

68791296 has 132 divisors (see below), whose sum is σ = 213755928. Its totient is φ = 19611648.

The previous prime is 68791291. The next prime is 68791301. The reversal of 68791296 is 69219786.

It is an interprime number because it is at equal distance from previous prime (68791291) and next prime (68791301).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (68791291) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150300 + ... + 150756.

Almost surely, 268791296 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 68791296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106877964).

68791296 is an abundant number, since it is smaller than the sum of its proper divisors (144964632).

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

68791296 is a wasteful number, since it uses less digits than its factorization.

68791296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 469 counting only the distinct ones).

The product of its digits is 326592, while the sum is 48.

The square root of 68791296 is about 8294.0518445450. The cubic root of 68791296 is about 409.7426423766.

The spelling of 68791296 in words is "sixty-eight million, seven hundred ninety-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 457 512 588 672 768 784 896 914 1024 1176 1344 1371 1536 1568 1792 1828 2352 2688 2742 3072 3136 3199 3584 3656 4704 5376 5484 6272 6398 7168 7312 9408 9597 10752 10968 12544 12796 14624 18816 19194 21504 21936 22393 25088 25592 29248 37632 38388 43872 44786 50176 51184 58496 67179 75264 76776 87744 89572 102368 116992 134358 150528 153552 175488 179144 204736 233984 268716 307104 350976 358288 409472 467968 537432 614208 701952 716576 818944 1074864 1228416 1403904 1433152 1637888 2149728 2456832 2866304 3275776 4299456 4913664 5732608 8598912 9827328 11465216 17197824 22930432 34395648 68791296