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121503040 = 2652913093
BaseRepresentation
bin1110011110111…
…11110101000000
322110121222211121
413033133311000
5222101044130
620020122024
73003521161
oct717376500
9273558747
10121503040
116264903a
1234836314
131c2320b9
14121cb768
15aa00d7a
hex73dfd40

121503040 has 56 divisors (see below), whose sum is σ = 299328840. Its totient is φ = 46921728.

The previous prime is 121503017. The next prime is 121503071. The reversal of 121503040 is 40305121.

It can be written as a sum of positive squares in 4 ways, for example, as 35236096 + 86266944 = 5936^2 + 9288^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2734 + ... + 15826.

Almost surely, 2121503040 is an apocalyptic number.

121503040 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 121503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149664420).

121503040 is an abundant number, since it is smaller than the sum of its proper divisors (177825800).

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

121503040 is a wasteful number, since it uses less digits than its factorization.

121503040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13139 (or 13129 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 121503040 is about 11022.8417388621. The cubic root of 121503040 is about 495.2932181058.

Adding to 121503040 its reverse (40305121), we get a palindrome (161808161).

The spelling of 121503040 in words is "one hundred twenty-one million, five hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 145 160 232 290 320 464 580 928 1160 1856 2320 4640 9280 13093 26186 52372 65465 104744 130930 209488 261860 379697 418976 523720 759394 837952 1047440 1518788 1898485 2094880 3037576 3796970 4189760 6075152 7593940 12150304 15187880 24300608 30375760 60751520 121503040