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108266496 = 2103132711
BaseRepresentation
bin1100111010000…
…00010000000000
321112201111201020
412131000100000
5210204011441
614424305440
72453151522
oct635002000
9245644636
10108266496
1156128248
1230312280
1319579320
1410543a12
159788e66
hex6740400

108266496 has 88 divisors (see below), whose sum is σ = 310881984. Its totient is φ = 33300480.

The previous prime is 108266491. The next prime is 108266507. The reversal of 108266496 is 694662801.

It is a super-2 number, since 2×1082664962 = 23443268312236032, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (108266491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38581 + ... + 41291.

Almost surely, 2108266496 is an apocalyptic number.

108266496 is a gapful number since it is divisible by the number (16) 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 108266496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155440992).

108266496 is an abundant number, since it is smaller than the sum of its proper divisors (202615488).

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

108266496 is a wasteful number, since it uses less digits than its factorization.

108266496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2747 (or 2729 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 108266496 is about 10405.1187403124. The cubic root of 108266496 is about 476.6116938793.

The spelling of 108266496 in words is "one hundred eight million, two hundred sixty-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1024 1248 1536 1664 2496 2711 3072 3328 4992 5422 6656 8133 9984 10844 13312 16266 19968 21688 32532 35243 39936 43376 65064 70486 86752 105729 130128 140972 173504 211458 260256 281944 347008 422916 520512 563888 694016 845832 1041024 1127776 1388032 1691664 2082048 2255552 2776064 3383328 4164096 4511104 6766656 8328192 9022208 13533312 18044416 27066624 36088832 54133248 108266496