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68513088 = 2637192683
BaseRepresentation
bin1000001010101…
…10110101000000
311202220211021210
410011112311000
5120014404323
610444250120
71461231420
oct405266500
9152824253
1068513088
1135745996
121ab40940
131126aab7
149156480
156035293
hex4156d40

68513088 has 112 divisors (see below), whose sum is σ = 218155520. Its totient is φ = 18537984.

The previous prime is 68513087. The next prime is 68513089. The reversal of 68513088 is 88031586.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (68513087) and next prime (68513089).

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68513087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24195 + ... + 26877.

Almost surely, 268513088 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 68513088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109077760).

68513088 is an abundant number, since it is smaller than the sum of its proper divisors (149642432).

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

68513088 is a wasteful number, since it uses less digits than its factorization.

68513088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2724 (or 2714 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 68513088 is about 8277.2633158551. The cubic root of 68513088 is about 409.1895312215.

The spelling of 68513088 in words is "sixty-eight million, five hundred thirteen thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 133 152 168 192 224 228 266 304 336 399 448 456 532 608 672 798 912 1064 1216 1344 1596 1824 2128 2683 3192 3648 4256 5366 6384 8049 8512 10732 12768 16098 18781 21464 25536 32196 37562 42928 50977 56343 64392 75124 85856 101954 112686 128784 150248 152931 171712 203908 225372 257568 300496 305862 356839 407816 450744 515136 600992 611724 713678 815632 901488 1070517 1201984 1223448 1427356 1631264 1802976 2141034 2446896 2854712 3262528 3605952 4282068 4893792 5709424 8564136 9787584 11418848 17128272 22837696 34256544 68513088