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121190640 = 24351493389
BaseRepresentation
bin1110011100100…
…11100011110000
322110001010022020
413032103203300
5222011100030
620005311440
73001050324
oct716234360
9273033266
10121190640
116245535a
1234705580
131c152b4c
1412149984
15a98d510
hex73938f0

121190640 has 80 divisors (see below), whose sum is σ = 378324000. Its totient is φ = 32091136.

The previous prime is 121190617. The next prime is 121190647. The reversal of 121190640 is 46091121.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 121190640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121190647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34066 + ... + 37454.

It is an arithmetic number, because the mean of its divisors is an integer number (4729050).

Almost surely, 2121190640 is an apocalyptic number.

121190640 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 121190640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189162000).

121190640 is an abundant number, since it is smaller than the sum of its proper divisors (257133360).

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

121190640 is a wasteful number, since it uses less digits than its factorization.

121190640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3554 (or 3548 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 121190640 is about 11008.6620440451. The cubic root of 121190640 is about 494.8683661817.

The spelling of 121190640 in words is "one hundred twenty-one million, one hundred ninety thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 149 240 298 447 596 745 894 1192 1490 1788 2235 2384 2980 3389 3576 4470 5960 6778 7152 8940 10167 11920 13556 16945 17880 20334 27112 33890 35760 40668 50835 54224 67780 81336 101670 135560 162672 203340 271120 406680 504961 813360 1009922 1514883 2019844 2524805 3029766 4039688 5049610 6059532 7574415 8079376 10099220 12119064 15148830 20198440 24238128 30297660 40396880 60595320 121190640