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121389504 = 2635379151
BaseRepresentation
bin1110011110001…
…00000111000000
322110102020002120
413033010013000
5222033431004
620013444240
73002536155
oct717040700
9273366076
10121389504
1162580805
12347a0680
131c1c2512
141219c22c
15a9cc3d9
hex73c41c0

121389504 has 112 divisors (see below), whose sum is σ = 333573120. Its totient is φ = 38937600.

The previous prime is 121389431. The next prime is 121389509. The reversal of 121389504 is 405983121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121389509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 803829 + ... + 803979.

Almost surely, 2121389504 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 121389504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166786560).

121389504 is an abundant number, since it is smaller than the sum of its proper divisors (212183616).

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

121389504 is a wasteful number, since it uses less digits than its factorization.

121389504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 121389504 is about 11017.6905020971. The cubic root of 121389504 is about 495.1388978646.

The spelling of 121389504 in words is "one hundred twenty-one million, three hundred eighty-nine thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 79 96 106 151 158 159 192 212 237 302 316 318 424 453 474 604 632 636 848 906 948 1208 1264 1272 1696 1812 1896 2416 2528 2544 3392 3624 3792 4187 4832 5056 5088 7248 7584 8003 8374 9664 10176 11929 12561 14496 15168 16006 16748 23858 24009 25122 28992 32012 33496 35787 47716 48018 50244 64024 66992 71574 95432 96036 100488 128048 133984 143148 190864 192072 200976 256096 267968 286296 381728 384144 401952 512192 572592 632237 763456 768288 803904 1145184 1264474 1536576 1896711 2290368 2528948 3793422 5057896 7586844 10115792 15173688 20231584 30347376 40463168 60694752 121389504