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121620380 = 225717137373
BaseRepresentation
bin1110011111111…
…00011110011100
322110211221210112
413033330132130
5222113323010
620022425152
73004520240
oct717743634
9273757715
10121620380
1162719212
12348921b8
131c27362b
141221c420
15aa25a05
hex73fc79c

121620380 has 96 divisors (see below), whose sum is σ = 312149376. Its totient is φ = 38854656.

The previous prime is 121620379. The next prime is 121620419. The reversal of 121620380 is 83026121.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 325874 + ... + 326246.

It is an arithmetic number, because the mean of its divisors is an integer number (3251556).

Almost surely, 2121620380 is an apocalyptic number.

121620380 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 121620380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156074688).

121620380 is an abundant number, since it is smaller than the sum of its proper divisors (190528996).

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

121620380 is a wasteful number, since it uses less digits than its factorization.

121620380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 121620380 is about 11028.1630383305. The cubic root of 121620380 is about 495.4526078282.

The spelling of 121620380 in words is "one hundred twenty-one million, six hundred twenty thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 137 140 170 238 274 340 373 476 548 595 685 746 959 1190 1370 1492 1865 1918 2329 2380 2611 2740 3730 3836 4658 4795 5222 6341 7460 9316 9590 10444 11645 12682 13055 16303 19180 23290 25364 26110 31705 32606 44387 46580 51101 52220 63410 65212 81515 88774 102202 126820 163030 177548 204404 221935 255505 326060 357707 443870 511010 715414 868717 887740 1022020 1430828 1737434 1788535 3474868 3577070 4343585 6081019 7154140 8687170 12162038 17374340 24324076 30405095 60810190 121620380