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103290240 = 2735232339
BaseRepresentation
bin1100010100000…
…01010110000000
321012100200120110
412022001112000
5202420241430
614125511320
72362644504
oct612012600
9235320513
10103290240
1153339539
122a712540
13185262b1
14da0a304
1591047b0
hex6281580

103290240 has 128 divisors (see below), whose sum is σ = 343699200. Its totient is φ = 26335232.

The previous prime is 103290223. The next prime is 103290337. The reversal of 103290240 is 42092301.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42991 + ... + 45329.

It is an arithmetic number, because the mean of its divisors is an integer number (2685150).

Almost surely, 2103290240 is an apocalyptic number.

103290240 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 103290240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171849600).

103290240 is an abundant number, since it is smaller than the sum of its proper divisors (240408960).

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

103290240 is a wasteful number, since it uses less digits than its factorization.

103290240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2384 (or 2372 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 103290240 is about 10163.1806045155. The cubic root of 103290240 is about 469.1946976316.

The spelling of 103290240 in words is "one hundred three million, two hundred ninety thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 128 138 160 184 192 230 240 276 320 345 368 384 460 480 552 640 690 736 920 960 1104 1380 1472 1840 1920 2208 2339 2760 2944 3680 4416 4678 5520 7017 7360 8832 9356 11040 11695 14034 14720 18712 22080 23390 28068 35085 37424 44160 46780 53797 56136 70170 74848 93560 107594 112272 140340 149696 161391 187120 215188 224544 268985 280680 299392 322782 374240 430376 449088 537970 561360 645564 748480 806955 860752 898176 1075940 1122720 1291128 1496960 1613910 1721504 2151880 2245440 2582256 3227820 3443008 4303760 4490880 5164512 6455640 6886016 8607520 10329024 12911280 17215040 20658048 25822560 34430080 51645120 103290240