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68791440 = 2435416991
BaseRepresentation
bin1000001100110…
…10110010010000
311210102222010010
410012122302100
5120102311230
610454234520
71463501064
oct406326220
9153388103
1068791440
1135916033
121b055a40
13113376c3
1491c9aa4
15608c9b0
hex419ac90

68791440 has 80 divisors (see below), whose sum is σ = 218486016. Its totient is φ = 17894400.

The previous prime is 68791433. The next prime is 68791493. The reversal of 68791440 is 4419786.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6345 + ... + 13335.

Almost surely, 268791440 is an apocalyptic number.

68791440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68791440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109243008).

68791440 is an abundant number, since it is smaller than the sum of its proper divisors (149694576).

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

68791440 is a wasteful number, since it uses less digits than its factorization.

68791440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7048 (or 7042 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 68791440 is about 8294.0605254604. The cubic root of 68791440 is about 409.7429282795.

The spelling of 68791440 in words is "sixty-eight million, seven hundred ninety-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 984 1230 1640 1968 2460 3280 4920 6991 9840 13982 20973 27964 34955 41946 55928 69910 83892 104865 111856 139820 167784 209730 279640 286631 335568 419460 559280 573262 838920 859893 1146524 1433155 1677840 1719786 2293048 2866310 3439572 4299465 4586096 5732620 6879144 8598930 11465240 13758288 17197860 22930480 34395720 68791440