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108672048 = 24322953491
BaseRepresentation
bin1100111101000…
…11010000110000
321120111010000200
412132203100300
5210310001143
614441115200
72456461062
oct636432060
9246433020
10108672048
1156384a11
1230488b00
131968bab4
141060b732
1598191d3
hex67a3430

108672048 has 120 divisors (see below), whose sum is σ = 321207120. Its totient is φ = 34245120.

The previous prime is 108672043. The next prime is 108672097. The reversal of 108672048 is 840276801.

It is a super-2 number, since 2×1086720482 = 23619228033028608, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (108672043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221083 + ... + 221573.

It is an arithmetic number, because the mean of its divisors is an integer number (2676726).

Almost surely, 2108672048 is an apocalyptic number.

108672048 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 108672048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160603560).

108672048 is an abundant number, since it is smaller than the sum of its proper divisors (212535072).

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

108672048 is a wasteful number, since it uses less digits than its factorization.

108672048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 578 counting only the distinct ones).

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

The square root of 108672048 is about 10424.5886249770. The cubic root of 108672048 is about 477.2060605163.

The spelling of 108672048 in words is "one hundred eight million, six hundred seventy-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 53 58 72 87 106 116 144 159 174 212 232 261 318 348 424 464 477 491 522 636 696 848 954 982 1044 1272 1392 1473 1537 1908 1964 2088 2544 2946 3074 3816 3928 4176 4419 4611 5892 6148 7632 7856 8838 9222 11784 12296 13833 14239 17676 18444 23568 24592 26023 27666 28478 35352 36888 42717 52046 55332 56956 70704 73776 78069 85434 104092 110664 113912 128151 156138 170868 208184 221328 227824 234207 256302 312276 341736 416368 468414 512604 624552 683472 754667 936828 1025208 1249104 1509334 1873656 2050416 2264001 3018668 3747312 4528002 6037336 6792003 9056004 12074672 13584006 18112008 27168012 36224016 54336024 108672048