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68578380 = 22335139769
BaseRepresentation
bin1000001011001…
…10110001001100
311210001010212000
410011212301030
5120024002010
610445512300
71461622653
oct405466114
9153033760
1068578380
113578aa52
121ab72690
1311291730
14917219a
1560497c0
hex4166c4c

68578380 has 96 divisors (see below), whose sum is σ = 229790400. Its totient is φ = 16879104.

The previous prime is 68578373. The next prime is 68578381. The reversal of 68578380 is 8387586.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (68578381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2136 + ... + 11904.

It is an arithmetic number, because the mean of its divisors is an integer number (2393650).

Almost surely, 268578380 is an apocalyptic number.

68578380 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 68578380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114895200).

68578380 is an abundant number, since it is smaller than the sum of its proper divisors (161212020).

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

68578380 is a wasteful number, since it uses less digits than its factorization.

68578380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9800 (or 9792 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 68578380 is about 8281.2064338477. The cubic root of 68578380 is about 409.3194738900.

The spelling of 68578380 in words is "sixty-eight million, five hundred seventy-eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 7020 9769 19538 29307 39076 48845 58614 87921 97690 117228 126997 146535 175842 195380 253994 263763 293070 351684 380991 439605 507988 527526 586140 634985 761982 879210 1055052 1142973 1269970 1318815 1523964 1758420 1904955 2285946 2539940 2637630 3428919 3809910 4571892 5275260 5714865 6857838 7619820 11429730 13715676 17144595 22859460 34289190 68578380