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121974460 = 225311131741
BaseRepresentation
bin1110100010100…
…10111010111100
322111111221111121
413101102322330
5222211140320
620034200324
73010523446
oct721227274
9274457447
10121974460
1162940243
1234a230a4
131c36884a
14122b1496
15aa958aa
hex7452ebc

121974460 has 48 divisors (see below), whose sum is σ = 266902272. Its totient is φ = 46771200.

The previous prime is 121974449. The next prime is 121974469. The reversal of 121974460 is 64479121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121974469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69190 + ... + 70930.

It is an arithmetic number, because the mean of its divisors is an integer number (5560464).

Almost surely, 2121974460 is an apocalyptic number.

121974460 is a gapful number since it is divisible by the number (10) 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 121974460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133451136).

121974460 is an abundant number, since it is smaller than the sum of its proper divisors (144927812).

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

121974460 is a wasteful number, since it uses less digits than its factorization.

121974460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1894 (or 1892 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 121974460 is about 11044.2048151961. The cubic root of 121974460 is about 495.9329546474.

The spelling of 121974460 in words is "one hundred twenty-one million, nine hundred seventy-four thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 31 62 113 124 155 226 310 452 565 620 1130 1741 2260 3482 3503 6964 7006 8705 14012 17410 17515 34820 35030 53971 70060 107942 196733 215884 269855 393466 539710 786932 983665 1079420 1967330 3934660 6098723 12197446 24394892 30493615 60987230 121974460