Search a number
-
+
121749960 = 23353792677
BaseRepresentation
bin1110100000111…
…00000111001000
322111002112112210
413100130013020
5222131444320
620025305120
73005600103
oct720340710
9274075483
10121749960
11627a7602
12349351a0
131c2ba5c7
141225373a
15aa4e0e0
hex741c1c8

121749960 has 64 divisors (see below), whose sum is σ = 366350400. Its totient is φ = 32368896.

The previous prime is 121749949. The next prime is 121749973. The reversal of 121749960 is 69947121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44142 + ... + 46818.

It is an arithmetic number, because the mean of its divisors is an integer number (5724225).

Almost surely, 2121749960 is an apocalyptic number.

121749960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121749960 is an abundant number, since it is smaller than the sum of its proper divisors (244600440).

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

121749960 is a wasteful number, since it uses less digits than its factorization.

121749960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3070 (or 3066 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 121749960 is about 11034.0364327838. The cubic root of 121749960 is about 495.6285047779.

The spelling of 121749960 in words is "one hundred twenty-one million, seven hundred forty-nine thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 379 758 1137 1516 1895 2274 2677 3032 3790 4548 5354 5685 7580 8031 9096 10708 11370 13385 15160 16062 21416 22740 26770 32124 40155 45480 53540 64248 80310 107080 160620 321240 1014583 2029166 3043749 4058332 5072915 6087498 8116664 10145830 12174996 15218745 20291660 24349992 30437490 40583320 60874980 121749960