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121974328 = 2372379821
BaseRepresentation
bin1110100010100…
…10111000111000
322111111221022201
413101102320320
5222211134303
620034155544
73010523200
oct721227070
9274457281
10121974328
1162940133
1234a22bb4
131c368778
14122b1400
15aa9581d
hex7452e38

121974328 has 48 divisors (see below), whose sum is σ = 267067800. Its totient is φ = 52073280.

The previous prime is 121974301. The next prime is 121974343. The reversal of 121974328 is 823479121.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 148158 + ... + 148978.

Almost surely, 2121974328 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 121974328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133533900).

121974328 is an abundant number, since it is smaller than the sum of its proper divisors (145093472).

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

121974328 is a wasteful number, since it uses less digits than its factorization.

121974328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1209 counting only the distinct ones).

The product of its digits is 24192, while the sum is 37.

The square root of 121974328 is about 11044.1988392097. The cubic root of 121974328 is about 495.9327757488.

The spelling of 121974328 in words is "one hundred twenty-one million, nine hundred seventy-four thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 379 392 758 821 1516 1642 2653 3032 3284 5306 5747 6568 10612 11494 18571 21224 22988 37142 40229 45976 74284 80458 148568 160916 311159 321832 622318 1244636 2178113 2489272 4356226 8712452 15246791 17424904 30493582 60987164 121974328