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108061440 = 2835107263
BaseRepresentation
bin1100111000011…
…10001100000000
321112100002102120
412130032030000
5210130431230
614420044240
72451335634
oct634161400
9245302376
10108061440
1155aa8183
1230233680
1319506ba6
14104ccdc4
159748310
hex670e300

108061440 has 144 divisors (see below), whose sum is σ = 349671168. Its totient is φ = 28438528.

The previous prime is 108061427. The next prime is 108061441. The reversal of 108061440 is 44160801.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 108061440.

It is not an unprimeable number, because it can be changed into a prime (108061441) 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, 410749 + ... + 411011.

It is an arithmetic number, because the mean of its divisors is an integer number (2428272).

Almost surely, 2108061440 is an apocalyptic number.

108061440 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 108061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174835584).

108061440 is an abundant number, since it is smaller than the sum of its proper divisors (241609728).

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

108061440 is a wasteful number, since it uses less digits than its factorization.

108061440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 108061440 is about 10395.2604584974. The cubic root of 108061440 is about 476.3106039533.

It can be divided in two parts, 10806 and 1440, that added together give a triangular number (12246 = T156).

The spelling of 108061440 in words is "one hundred eight million, sixty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 107 120 128 160 192 214 240 256 263 320 321 384 428 480 526 535 640 642 768 789 856 960 1052 1070 1280 1284 1315 1578 1605 1712 1920 2104 2140 2568 2630 3156 3210 3424 3840 3945 4208 4280 5136 5260 6312 6420 6848 7890 8416 8560 10272 10520 12624 12840 13696 15780 16832 17120 20544 21040 25248 25680 27392 28141 31560 33664 34240 41088 42080 50496 51360 56282 63120 67328 68480 82176 84160 84423 100992 102720 112564 126240 136960 140705 168320 168846 201984 205440 225128 252480 281410 336640 337692 410880 422115 450256 504960 562820 675384 844230 900512 1009920 1125640 1350768 1688460 1801024 2251280 2701536 3376920 3602048 4502560 5403072 6753840 7204096 9005120 10806144 13507680 18010240 21612288 27015360 36020480 54030720 108061440