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121983480 = 233251672029
BaseRepresentation
bin1110100010101…
…01000111111000
322111112101212200
413101111013320
5222211432410
620034310200
73010561653
oct721250770
9274471780
10121983480
1162946aa3
1234a28360
131c36c998
14122b489a
15aa983c0
hex74551f8

121983480 has 96 divisors (see below), whose sum is σ = 399016800. Its totient is φ = 32318208.

The previous prime is 121983479. The next prime is 121983493. The reversal of 121983480 is 84389121.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59106 + ... + 61134.

It is an arithmetic number, because the mean of its divisors is an integer number (4156425).

Almost surely, 2121983480 is an apocalyptic number.

121983480 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 121983480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199508400).

121983480 is an abundant number, since it is smaller than the sum of its proper divisors (277033320).

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

121983480 is a wasteful number, since it uses less digits than its factorization.

121983480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2213 (or 2206 counting only the distinct ones).

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

The square root of 121983480 is about 11044.6131666075. The cubic root of 121983480 is about 495.9451790781.

The spelling of 121983480 in words is "one hundred twenty-one million, nine hundred eighty-three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 167 180 334 360 501 668 835 1002 1336 1503 1670 2004 2029 2505 3006 3340 4008 4058 5010 6012 6087 6680 7515 8116 10020 10145 12024 12174 15030 16232 18261 20040 20290 24348 30060 30435 36522 40580 48696 60120 60870 73044 81160 91305 121740 146088 182610 243480 338843 365220 677686 730440 1016529 1355372 1694215 2033058 2710744 3049587 3388430 4066116 5082645 6099174 6776860 8132232 10165290 12198348 13553720 15247935 20330580 24396696 30495870 40661160 60991740 121983480