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107813448 = 233219531487
BaseRepresentation
bin1100110110100…
…01101001001000
321111212111020200
412123101221020
5210100012243
614410452200
72446253631
oct633215110
9244774220
10107813448
1155948926
1230134060
131944b052
1410466888
1596e9ad3
hex66d1a48

107813448 has 96 divisors (see below), whose sum is σ = 313372800. Its totient is φ = 33381504.

The previous prime is 107813401. The next prime is 107813471. The reversal of 107813448 is 844318701.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71761 + ... + 73247.

It is an arithmetic number, because the mean of its divisors is an integer number (3264300).

Almost surely, 2107813448 is an apocalyptic number.

107813448 is a gapful number since it is divisible by the number (18) 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 107813448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156686400).

107813448 is an abundant number, since it is smaller than the sum of its proper divisors (205559352).

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

107813448 is a wasteful number, since it uses less digits than its factorization.

107813448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1571 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 107813448 is about 10383.3254788627. The cubic root of 107813448 is about 475.9459604872.

The spelling of 107813448 in words is "one hundred seven million, eight hundred thirteen thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 53 57 72 76 106 114 152 159 171 212 228 318 342 424 456 477 636 684 954 1007 1272 1368 1487 1908 2014 2974 3021 3816 4028 4461 5948 6042 8056 8922 9063 11896 12084 13383 17844 18126 24168 26766 28253 35688 36252 53532 56506 72504 78811 84759 107064 113012 157622 169518 226024 236433 254277 315244 339036 472866 508554 630488 678072 709299 945732 1017108 1418598 1497409 1891464 2034216 2837196 2994818 4492227 5674392 5989636 8984454 11979272 13476681 17968908 26953362 35937816 53906724 107813448