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121157808 = 2437173487
BaseRepresentation
bin1110011100010…
…11100010110000
322102222110021020
413032023202300
5222004022213
620004455440
73000552522
oct716134260
9272873236
10121157808
1162432722
12346aa580
131c140c15
141213ba12
15a983923
hex738b8b0

121157808 has 80 divisors (see below), whose sum is σ = 322407936. Its totient is φ = 39191040.

The previous prime is 121157791. The next prime is 121157819. The reversal of 121157808 is 808751121.

It is a super-3 number, since 3×1211578083 (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248541 + ... + 249027.

Almost surely, 2121157808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121157808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161203968).

121157808 is an abundant number, since it is smaller than the sum of its proper divisors (201250128).

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

121157808 is a wasteful number, since it uses less digits than its factorization.

121157808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 33.

The square root of 121157808 is about 11007.1707536496. The cubic root of 121157808 is about 494.8236735508.

The spelling of 121157808 in words is "one hundred twenty-one million, one hundred fifty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 73 142 146 213 219 284 292 426 438 487 568 584 852 876 974 1136 1168 1461 1704 1752 1948 2922 3408 3504 3896 5183 5844 7792 10366 11688 15549 20732 23376 31098 34577 35551 41464 62196 69154 71102 82928 103731 106653 124392 138308 142204 207462 213306 248784 276616 284408 414924 426612 553232 568816 829848 853224 1659696 1706448 2524121 5048242 7572363 10096484 15144726 20192968 30289452 40385936 60578904 121157808