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108946068 = 223711157751
BaseRepresentation
bin1100111111001…
…10001010010100
321121000000220120
412133212022110
5210342233233
614451031540
72462012010
oct637461224
9247000816
10108946068
1156551880
123059b5b0
131975673a
141067d540
1598704b3
hex67e6294

108946068 has 96 divisors (see below), whose sum is σ = 319377408. Its totient is φ = 28080000.

The previous prime is 108946067. The next prime is 108946073. The reversal of 108946068 is 860649801.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108946067) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144693 + ... + 145443.

It is an arithmetic number, because the mean of its divisors is an integer number (3326848).

Almost surely, 2108946068 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 108946068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159688704).

108946068 is an abundant number, since it is smaller than the sum of its proper divisors (210431340).

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

108946068 is a wasteful number, since it uses less digits than its factorization.

108946068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 108946068 is about 10437.7233149763. The cubic root of 108946068 is about 477.6068205777.

The spelling of 108946068 in words is "one hundred eight million, nine hundred forty-six thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 157 231 308 314 462 471 628 751 924 942 1099 1502 1727 1884 2198 2253 3004 3297 3454 4396 4506 5181 5257 6594 6908 8261 9012 10362 10514 12089 13188 15771 16522 20724 21028 24178 24783 31542 33044 36267 48356 49566 57827 63084 72534 99132 115654 117907 145068 173481 231308 235814 346962 353721 471628 693924 707442 825349 1296977 1414884 1650698 2476047 2593954 3301396 3890931 4952094 5187908 7781862 9078839 9904188 15563724 18157678 27236517 36315356 54473034 108946068