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121949940 = 223571032819
BaseRepresentation
bin1110100010011…
…00111011110100
322111110200212110
413101030323310
5222204344230
620033451020
73010362120
oct721147364
9274420773
10121949940
1162923882
1234a10a70
131c35a638
14122a6580
15aa8d4b0
hex744cef4

121949940 has 96 divisors (see below), whose sum is σ = 394168320. Its totient is φ = 27593856.

The previous prime is 121949929. The next prime is 121949941. The reversal of 121949940 is 49949121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121949941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41851 + ... + 44669.

It is an arithmetic number, because the mean of its divisors is an integer number (4105920).

Almost surely, 2121949940 is an apocalyptic number.

121949940 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 121949940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197084160).

121949940 is an abundant number, since it is smaller than the sum of its proper divisors (272218380).

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

121949940 is a wasteful number, since it uses less digits than its factorization.

121949940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2941 (or 2939 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 121949940 is about 11043.0946749541. The cubic root of 121949940 is about 495.8997206655.

The spelling of 121949940 in words is "one hundred twenty-one million, nine hundred forty-nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 103 105 140 206 210 309 412 420 515 618 721 1030 1236 1442 1545 2060 2163 2819 2884 3090 3605 4326 5638 6180 7210 8457 8652 10815 11276 14095 14420 16914 19733 21630 28190 33828 39466 42285 43260 56380 59199 78932 84570 98665 118398 169140 197330 236796 290357 295995 394660 580714 591990 871071 1161428 1183980 1451785 1742142 2032499 2903570 3484284 4064998 4355355 5807140 6097497 8129996 8710710 10162495 12194994 17421420 20324990 24389988 30487485 40649980 60974970 121949940