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121390152 = 233132291699
BaseRepresentation
bin1110011110001…
…00010001001000
322110102020222120
413033010101020
5222033441102
620013451240
73002541102
oct717042110
9273366876
10121390152
1162581244
12347a0b20
131c1c28c0
141219c572
15a9cc6bc
hex73c4448

121390152 has 64 divisors (see below), whose sum is σ = 328440000. Its totient is φ = 37165824.

The previous prime is 121390147. The next prime is 121390153. The reversal of 121390152 is 251093121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (121390153) 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, 70599 + ... + 72297.

It is an arithmetic number, because the mean of its divisors is an integer number (5131875).

Almost surely, 2121390152 is an apocalyptic number.

121390152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121390152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164220000).

121390152 is an abundant number, since it is smaller than the sum of its proper divisors (207049848).

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

121390152 is a wasteful number, since it uses less digits than its factorization.

121390152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950 (or 1946 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 121390152 is about 11017.7199093097. The cubic root of 121390152 is about 495.1397789112.

The spelling of 121390152 in words is "one hundred twenty-one million, three hundred ninety thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 229 312 458 687 916 1374 1699 1832 2748 2977 3398 5097 5496 5954 6796 8931 10194 11908 13592 17862 20388 22087 23816 35724 40776 44174 66261 71448 88348 132522 176696 265044 389071 530088 778142 1167213 1556284 2334426 3112568 4668852 5057923 9337704 10115846 15173769 20231692 30347538 40463384 60695076 121390152