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68147424 = 25321731449
BaseRepresentation
bin1000000111111…
…01100011100000
311202020020200200
410003331203200
5114421204144
610432345200
71455146352
oct403754340
9152206620
1068147424
1135516194
121a9a5200
1311170527
14909d0d2
155eb1c69
hex40fd8e0

68147424 has 144 divisors (see below), whose sum is σ = 212284800. Its totient is φ = 20643840.

The previous prime is 68147381. The next prime is 68147437. The reversal of 68147424 is 42474186.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151552 + ... + 152000.

It is an arithmetic number, because the mean of its divisors is an integer number (1474200).

Almost surely, 268147424 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 68147424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106142400).

68147424 is an abundant number, since it is smaller than the sum of its proper divisors (144137376).

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

68147424 is a wasteful number, since it uses less digits than its factorization.

68147424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 502 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 68147424 is about 8255.1453045964. The cubic root of 68147424 is about 408.4602648935.

The spelling of 68147424 in words is "sixty-eight million, one hundred forty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 31 32 34 36 48 51 62 68 72 93 96 102 124 136 144 153 186 204 248 272 279 288 306 372 408 449 496 527 544 558 612 744 816 898 992 1054 1116 1224 1347 1488 1581 1632 1796 2108 2232 2448 2694 2976 3162 3592 4041 4216 4464 4743 4896 5388 6324 7184 7633 8082 8432 8928 9486 10776 12648 13919 14368 15266 16164 16864 18972 21552 22899 25296 27838 30532 32328 37944 41757 43104 45798 50592 55676 61064 64656 68697 75888 83514 91596 111352 122128 125271 129312 137394 151776 167028 183192 222704 236623 244256 250542 274788 334056 366384 445408 473246 501084 549576 668112 709869 732768 946492 1002168 1099152 1336224 1419738 1892984 2004336 2129607 2198304 2839476 3785968 4008672 4259214 5678952 7571936 8518428 11357904 17036856 22715808 34073712 68147424