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108242880 = 2635472399
BaseRepresentation
bin1100111001110…
…10011111000000
321112200022022120
412130322133000
5210202233010
614424004240
72453022624
oct634723700
9245608276
10108242880
1156111529
1230300680
131956b655
1410539184
159781e70
hex673a7c0

108242880 has 112 divisors (see below), whose sum is σ = 351129600. Its totient is φ = 28238848.

The previous prime is 108242879. The next prime is 108242881. The reversal of 108242880 is 88242801.

It is an interprime number because it is at equal distance from previous prime (108242879) and next prime (108242881).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108242881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43921 + ... + 46319.

Almost surely, 2108242880 is an apocalyptic number.

108242880 is a gapful number since it is divisible by the number (10) 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 108242880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175564800).

108242880 is an abundant number, since it is smaller than the sum of its proper divisors (242886720).

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

108242880 is a wasteful number, since it uses less digits than its factorization.

108242880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2466 (or 2456 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 108242880 is about 10403.9838523519. The cubic root of 108242880 is about 476.5770371737.

The spelling of 108242880 in words is "one hundred eight million, two hundred forty-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 64 80 94 96 120 141 160 188 192 235 240 282 320 376 470 480 564 705 752 940 960 1128 1410 1504 1880 2256 2399 2820 3008 3760 4512 4798 5640 7197 7520 9024 9596 11280 11995 14394 15040 19192 22560 23990 28788 35985 38384 45120 47980 57576 71970 76768 95960 112753 115152 143940 153536 191920 225506 230304 287880 338259 383840 451012 460608 563765 575760 676518 767680 902024 1127530 1151520 1353036 1691295 1804048 2255060 2303040 2706072 3382590 3608096 4510120 5412144 6765180 7216192 9020240 10824288 13530360 18040480 21648576 27060720 36080960 54121440 108242880