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121500540 = 22335732143
BaseRepresentation
bin1110011110111…
…11001101111100
322110121212102000
413033133031330
5222101004130
620020102300
73003510660
oct717371574
9273555360
10121500540
1162647177
1234834990
131c230c15
14121ca8a0
15aa00260
hex73df37c

121500540 has 96 divisors (see below), whose sum is σ = 432015360. Its totient is φ = 27770688.

The previous prime is 121500527. The next prime is 121500541. The reversal of 121500540 is 45005121.

121500540 is a `hidden beast` number, since 121 + 5 + 0 + 0 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121500541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12292 + ... + 19851.

It is an arithmetic number, because the mean of its divisors is an integer number (4500160).

Almost surely, 2121500540 is an apocalyptic number.

121500540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121500540 is an abundant number, since it is smaller than the sum of its proper divisors (310514820).

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

121500540 is a wasteful number, since it uses less digits than its factorization.

121500540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32168 (or 32160 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 121500540 is about 11022.7283373945. The cubic root of 121500540 is about 495.2898210947.

Adding to 121500540 its reverse (45005121), we get a palindrome (166505661).

It can be divided in two parts, 121500 and 540, that multiplied together give a 4-th power (65610000 = 904).

The spelling of 121500540 in words is "one hundred twenty-one million, five hundred thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 32143 64286 96429 128572 160715 192858 225001 289287 321430 385716 450002 482145 578574 642860 675003 867861 900004 964290 1125005 1157148 1350006 1446435 1735722 1928580 2025009 2250010 2700012 2892870 3375015 3471444 4050018 4339305 4500020 5785740 6075027 6750030 8100036 8678610 10125045 12150054 13500060 17357220 20250090 24300108 30375135 40500180 60750270 121500540