Search a number
-
+
121462704 = 24321126971
BaseRepresentation
bin1110011110101…
…01111110110000
322110112221111200
413033111332300
5222043301304
620015211200
73003262446
oct717257660
9273487450
10121462704
1162620800
1234816b00
131c21992c
14121bab96
15a9e3e39
hex73d5fb0

121462704 has 90 divisors (see below), whose sum is σ = 373692228. Its totient is φ = 36801600.

The previous prime is 121462703. The next prime is 121462717. The reversal of 121462704 is 407264121.

It is not an unprimeable number, because it can be changed into a prime (121462703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13939 + ... + 20909.

Almost surely, 2121462704 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 121462704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186846114).

121462704 is an abundant number, since it is smaller than the sum of its proper divisors (252229524).

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

121462704 is a wasteful number, since it uses less digits than its factorization.

121462704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7007 (or 6987 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 121462704 is about 11021.0119317602. The cubic root of 121462704 is about 495.2384036792.

The spelling of 121462704 in words is "one hundred twenty-one million, four hundred sixty-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 726 792 968 1089 1452 1584 1936 2178 2904 4356 5808 6971 8712 13942 17424 20913 27884 41826 55768 62739 76681 83652 111536 125478 153362 167304 230043 250956 306724 334608 460086 501912 613448 690129 843491 920172 1003824 1226896 1380258 1686982 1840344 2530473 2760516 3373964 3680688 5060946 5521032 6747928 7591419 10121892 11042064 13495856 15182838 20243784 30365676 40487568 60731352 121462704