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121878680 = 23572115653
BaseRepresentation
bin1110100001110…
…11100010011000
322111100002010012
413100323202120
5222200104210
620032141052
73006644300
oct720734230
9274302105
10121878680
1162885290
1234997788
131c334081
1412288600
15aa77305
hex743b898

121878680 has 96 divisors (see below), whose sum is σ = 348060240. Its totient is φ = 37981440.

The previous prime is 121878667. The next prime is 121878689. The reversal of 121878680 is 86878121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121878689) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 18734 + ... + 24386.

Almost surely, 2121878680 is an apocalyptic number.

121878680 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 121878680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174030120).

121878680 is an abundant number, since it is smaller than the sum of its proper divisors (226181560).

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

121878680 is a wasteful number, since it uses less digits than its factorization.

121878680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5689 (or 5678 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 41.

The square root of 121878680 is about 11039.8677528311. The cubic root of 121878680 is about 495.8031108069.

The spelling of 121878680 in words is "one hundred twenty-one million, eight hundred seventy-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 49 55 56 70 77 88 98 110 140 154 196 220 245 280 308 385 392 440 490 539 616 770 980 1078 1540 1960 2156 2695 3080 4312 5390 5653 10780 11306 21560 22612 28265 39571 45224 56530 62183 79142 113060 124366 158284 197855 226120 248732 276997 310915 316568 395710 435281 497464 553994 621830 791420 870562 1107988 1243660 1384985 1582840 1741124 2176405 2215976 2487320 2769970 3046967 3482248 4352810 5539940 6093934 8705620 11079880 12187868 15234835 17411240 24375736 30469670 60939340 121878680