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2121250680 = 233455991093
BaseRepresentation
bin111111001101111…
…1011011101111000
312110211111200220000
41332123323131320
513321020010210
6550253433000
7103365222213
oct17633733570
95424450800
102121250680
1199943303a
124b249b760
1327a61b623
14161a1c77a
15c6363ac0
hex7e6fb778

2121250680 has 160 divisors (see below), whose sum is σ = 7148196000. Its totient is φ = 564205824.

The previous prime is 2121250669. The next prime is 2121250697. The reversal of 2121250680 is 860521212.

It is a happy number.

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1940214 + ... + 1941306.

It is an arithmetic number, because the mean of its divisors is an integer number (44676225).

Almost surely, 22121250680 is an apocalyptic number.

2121250680 is a gapful number since it is divisible by the number (20) 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 2121250680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3574098000).

2121250680 is an abundant number, since it is smaller than the sum of its proper divisors (5026945320).

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

2121250680 is a wasteful number, since it uses less digits than its factorization.

2121250680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1715 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2121250680 is about 46057.0372473089. The cubic root of 2121250680 is about 1284.8842280393.

Adding to 2121250680 its reverse (860521212), we get a palindrome (2981771892).

The spelling of 2121250680 in words is "two billion, one hundred twenty-one million, two hundred fifty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 599 648 810 1080 1093 1198 1620 1797 2186 2396 2995 3240 3279 3594 4372 4792 5391 5465 5990 6558 7188 8744 8985 9837 10782 10930 11980 13116 14376 16173 16395 17970 19674 21564 21860 23960 26232 26955 29511 32346 32790 35940 39348 43128 43720 48519 49185 53910 59022 64692 65580 71880 78696 80865 88533 97038 98370 107820 118044 129384 131160 147555 161730 177066 194076 196740 215640 236088 242595 295110 323460 354132 388152 393480 442665 485190 590220 646920 654707 708264 885330 970380 1180440 1309414 1770660 1940760 1964121 2618828 3273535 3541320 3928242 5237656 5892363 6547070 7856484 9820605 11784726 13094140 15712968 17677089 19641210 23569452 26188280 29461815 35354178 39282420 47138904 53031267 58923630 70708356 78564840 88385445 106062534 117847260 141416712 176770890 212125068 235694520 265156335 353541780 424250136 530312670 707083560 1060625340 2121250680