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108429696 = 2732611543
BaseRepresentation
bin1100111011010…
…00000110000000
321120000210120200
412131220012000
5210224222241
614432005200
72454431364
oct635500600
9246023520
10108429696
1156229921
1230390800
13196056ab
14105872a4
1597bc4b6
hex6768180

108429696 has 96 divisors (see below), whose sum is σ = 317338320. Its totient is φ = 35527680.

The previous prime is 108429691. The next prime is 108429697. The reversal of 108429696 is 696924801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108429691) 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, 69501 + ... + 71043.

Almost surely, 2108429696 is an apocalyptic number.

108429696 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 108429696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158669160).

108429696 is an abundant number, since it is smaller than the sum of its proper divisors (208908624).

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

108429696 is a wasteful number, since it uses less digits than its factorization.

108429696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1624 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 108429696 is about 10412.9580811602. The cubic root of 108429696 is about 476.8510537948.

The spelling of 108429696 in words is "one hundred eight million, four hundred twenty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 128 144 183 192 244 288 366 384 488 549 576 732 976 1098 1152 1464 1543 1952 2196 2928 3086 3904 4392 4629 5856 6172 7808 8784 9258 11712 12344 13887 17568 18516 23424 24688 27774 35136 37032 49376 55548 70272 74064 94123 98752 111096 148128 188246 197504 222192 282369 296256 376492 444384 564738 592512 752984 847107 888768 1129476 1505968 1694214 1777536 2258952 3011936 3388428 4517904 6023872 6776856 9035808 12047744 13553712 18071616 27107424 36143232 54214848 108429696