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68870480 = 2457217569
BaseRepresentation
bin1000001101011…
…10000101010000
311210120222112112
410012232011100
5120112323410
610500044452
71464250400
oct406560520
9153528475
1068870480
113596a458
121b093728
1311364683
14920a800
1560a6105
hex41ae150

68870480 has 60 divisors (see below), whose sum is σ = 186277140. Its totient is φ = 23611392.

The previous prime is 68870471. The next prime is 68870489. The reversal of 68870480 is 8407886.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (68870471) and next prime (68870489).

It can be written as a sum of positive squares in 2 ways, for example, as 10010896 + 58859584 = 3164^2 + 7672^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68870489) 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, 4865 + ... + 12704.

It is an arithmetic number, because the mean of its divisors is an integer number (3104619).

Almost surely, 268870480 is an apocalyptic number.

It is an amenable number.

68870480 is an abundant number, since it is smaller than the sum of its proper divisors (117406660).

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

68870480 is a wasteful number, since it uses less digits than its factorization.

68870480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17596 (or 17583 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 41.

The square root of 68870480 is about 8298.8240130756. The cubic root of 68870480 is about 409.8997970475.

It can be divided in two parts, 68 and 870480, that multiplied together give a triangular number (59192640 = T10880).

The spelling of 68870480 in words is "sixty-eight million, eight hundred seventy thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1960 3920 17569 35138 70276 87845 122983 140552 175690 245966 281104 351380 491932 614915 702760 860881 983864 1229830 1405520 1721762 1967728 2459660 3443524 4304405 4919320 6887048 8608810 9838640 13774096 17217620 34435240 68870480