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121087488 = 293312543
BaseRepresentation
bin1110011011110…
…10011000000000
322102211212210210
413031322120000
5221444244423
620003154120
73000140514
oct715723000
9272755723
10121087488
1162394905
1234675940
131c117c02
1412120144
15a96cb93
hex737a600

121087488 has 80 divisors (see below), whose sum is σ = 333121536. Its totient is φ = 39045120.

The previous prime is 121087471. The next prime is 121087507. The reversal of 121087488 is 884780121.

It is a happy number.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

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, 46345 + ... + 48887.

Almost surely, 2121087488 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 121087488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166560768).

121087488 is an abundant number, since it is smaller than the sum of its proper divisors (212034048).

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

121087488 is an equidigital number, since it uses as much as digits as its factorization.

121087488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2595 (or 2579 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 39.

The square root of 121087488 is about 11003.9760086979. The cubic root of 121087488 is about 494.7279231259.

The spelling of 121087488 in words is "one hundred twenty-one million, eighty-seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 744 768 992 1488 1536 1984 2543 2976 3968 5086 5952 7629 7936 10172 11904 15258 15872 20344 23808 30516 40688 47616 61032 78833 81376 122064 157666 162752 236499 244128 315332 325504 472998 488256 630664 651008 945996 976512 1261328 1302016 1891992 1953024 2522656 3783984 3906048 5045312 7567968 10090624 15135936 20181248 30271872 40362496 60543744 121087488