Search a number
-
+
121905728 = 267238873
BaseRepresentation
bin1110100010000…
…10001001000000
322111101110012222
413101002021000
5222201440403
620032510212
73010116200
oct721021100
9274343188
10121905728
11628a363a
12349ab368
131c343489
1412294400
15aa80338
hex7442240

121905728 has 42 divisors (see below), whose sum is σ = 281408886. Its totient is φ = 52243968.

The previous prime is 121905697. The next prime is 121905737. The reversal of 121905728 is 827509121.

It can be written as a sum of positive squares in only one way, i.e., 121705024 + 200704 = 11032^2 + 448^2 .

It is a super-2 number, since 2×1219057282 = 29722013038419968, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16301 + ... + 22572.

Almost surely, 2121905728 is an apocalyptic number.

It is an amenable number.

121905728 is an abundant number, since it is smaller than the sum of its proper divisors (159503158).

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

121905728 is an equidigital number, since it uses as much as digits as its factorization.

121905728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38899 (or 38882 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 35.

The square root of 121905728 is about 11041.0926995475. The cubic root of 121905728 is about 495.8397852294.

The spelling of 121905728 in words is "one hundred twenty-one million, nine hundred five thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 38873 77746 155492 272111 310984 544222 621968 1088444 1243936 1904777 2176888 2487872 3809554 4353776 7619108 8707552 15238216 17415104 30476432 60952864 121905728