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121374032 = 24131733373
BaseRepresentation
bin1110011110000…
…00010101010000
322110101102212112
413033000111100
5222032432112
620013244452
73002443103
oct717002520
9273342775
10121374032
116257011a
1234793728
131c1b8470
141219673a
15a9c7a22
hex73c0550

121374032 has 40 divisors (see below), whose sum is σ = 254790984. Its totient is φ = 55678464.

The previous prime is 121373983. The next prime is 121374041. The reversal of 121374032 is 230473121.

It can be written as a sum of positive squares in 4 ways, for example, as 59845696 + 61528336 = 7736^2 + 7844^2 .

It is a junction number, because it is equal to n+sod(n) for n = 121373989 and 121374007.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 34298 + ... + 37670.

Almost surely, 2121374032 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 121374032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127395492).

121374032 is an abundant number, since it is smaller than the sum of its proper divisors (133416952).

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

121374032 is a wasteful number, since it uses less digits than its factorization.

121374032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3567 (or 3561 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 121374032 is about 11016.9883362015. The cubic root of 121374032 is about 495.1178605857.

The spelling of 121374032 in words is "one hundred twenty-one million, three hundred seventy-four thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 173 208 346 692 1384 2249 2768 3373 4498 6746 8996 13492 17992 26984 35984 43849 53968 87698 175396 350792 583529 701584 1167058 2334116 4668232 7585877 9336464 15171754 30343508 60687016 121374032