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121732640 = 2551136733
BaseRepresentation
bin1110100000101…
…11111000100000
322111001122210022
413100113320200
5222130421030
620025053012
73005465441
oct720277040
9274048708
10121732640
1162795597
1234927168
131c2b2763
141224b2c8
15aa48de5
hex7417e20

121732640 has 48 divisors (see below), whose sum is σ = 290181528. Its totient is φ = 48254976.

The previous prime is 121732607. The next prime is 121732651. The reversal of 121732640 is 46237121.

It can be written as a sum of positive squares in 4 ways, for example, as 100240144 + 21492496 = 10012^2 + 4636^2 .

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, 14714 + ... + 21446.

Almost surely, 2121732640 is an apocalyptic number.

121732640 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 121732640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145090764).

121732640 is an abundant number, since it is smaller than the sum of its proper divisors (168448888).

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

121732640 is a wasteful number, since it uses less digits than its factorization.

121732640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6861 (or 6853 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 121732640 is about 11033.2515606235. The cubic root of 121732640 is about 495.6050011622.

Adding to 121732640 its reverse (46237121), we get a palindrome (167969761).

The spelling of 121732640 in words is "one hundred twenty-one million, seven hundred thirty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 113 160 226 452 565 904 1130 1808 2260 3616 4520 6733 9040 13466 18080 26932 33665 53864 67330 107728 134660 215456 269320 538640 760829 1077280 1521658 3043316 3804145 6086632 7608290 12173264 15216580 24346528 30433160 60866320 121732640