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121984380 = 22345731347
BaseRepresentation
bin1110100010101…
…01010101111100
322111112110010000
413101111111330
5222212000010
620034314300
73010564410
oct721252574
9274473100
10121984380
1162947741
1234a28990
131c37020b
14122b4d40
15aa987c0
hex745557c

121984380 has 240 divisors, whose sum is σ = 452745216. Its totient is φ = 26904960.

The previous prime is 121984361. The next prime is 121984381. The reversal of 121984380 is 83489121.

121984380 is a `hidden beast` number, since 1 + 219 + 8 + 438 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121984381) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 351367 + ... + 351713.

Almost surely, 2121984380 is an apocalyptic number.

121984380 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 121984380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226372608).

121984380 is an abundant number, since it is smaller than the sum of its proper divisors (330760836).

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

121984380 is a wasteful number, since it uses less digits than its factorization.

121984380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 121984380 is about 11044.6539103767. The cubic root of 121984380 is about 495.9463987776.

The spelling of 121984380 in words is "one hundred twenty-one million, nine hundred eighty-four thousand, three hundred eighty".