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103054680 = 23345171871
BaseRepresentation
bin1100010010001…
…11110101011000
321011220201110000
412021013311120
5202340222210
614120453000
72360643651
oct611076530
9234821400
10103054680
1153198563
122a61a160
1318473001
14d988528
1590a9ac0
hex6247d58

103054680 has 160 divisors (see below), whose sum is σ = 366949440. Its totient is φ = 25850880.

The previous prime is 103054673. The next prime is 103054723. The reversal of 103054680 is 86450301.

103054680 is a `hidden beast` number, since 10 + 30 + 546 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 54145 + ... + 56015.

It is an arithmetic number, because the mean of its divisors is an integer number (2293434).

Almost surely, 2103054680 is an apocalyptic number.

103054680 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 103054680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183474720).

103054680 is an abundant number, since it is smaller than the sum of its proper divisors (263894760).

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

103054680 is a wasteful number, since it uses less digits than its factorization.

103054680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1911 (or 1898 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 103054680 is about 10151.5850979047. The cubic root of 103054680 is about 468.8377499722.

The spelling of 103054680 in words is "one hundred three million, fifty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 81 85 90 102 108 120 135 136 153 162 170 180 204 216 255 270 306 324 340 360 405 408 459 510 540 612 648 680 765 810 918 1020 1080 1224 1377 1530 1620 1836 1871 2040 2295 2754 3060 3240 3672 3742 4590 5508 5613 6120 6885 7484 9180 9355 11016 11226 13770 14968 16839 18360 18710 22452 27540 28065 31807 33678 37420 44904 50517 55080 56130 63614 67356 74840 84195 95421 101034 112260 127228 134712 151551 159035 168390 190842 202068 224520 252585 254456 286263 303102 318070 336780 381684 404136 477105 505170 572526 606204 636140 673560 757755 763368 858789 954210 1010340 1145052 1212408 1272280 1431315 1515510 1717578 1908420 2020680 2290104 2576367 2862630 3031020 3435156 3816840 4293945 5152734 5725260 6062040 6870312 8587890 10305468 11450520 12881835 17175780 20610936 25763670 34351560 51527340 103054680