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121604424 = 23329379461
BaseRepresentation
bin1110011111110…
…00100101001000
322110211010220120
413033320211020
5222112320144
620022223240
73004422564
oct717704510
9273733816
10121604424
1162708227
1234884b20
131c2692a6
14122166a4
15aa20e19
hex73f8948

121604424 has 64 divisors (see below), whose sum is σ = 316008000. Its totient is φ = 38949120.

The previous prime is 121604423. The next prime is 121604437. The reversal of 121604424 is 424406121.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 121604394 and 121604403.

It is not an unprimeable number, because it can be changed into a prime (121604423) 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, 263554 + ... + 264014.

It is an arithmetic number, because the mean of its divisors is an integer number (4937625).

Almost surely, 2121604424 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 121604424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158004000).

121604424 is an abundant number, since it is smaller than the sum of its proper divisors (194403576).

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

121604424 is a wasteful number, since it uses less digits than its factorization.

121604424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 121604424 is about 11027.4395940309. The cubic root of 121604424 is about 495.4309398930.

The spelling of 121604424 in words is "one hundred twenty-one million, six hundred four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 379 461 696 758 922 1137 1383 1516 1844 2274 2766 3032 3688 4548 5532 9096 10991 11064 13369 21982 26738 32973 40107 43964 53476 65946 80214 87928 106952 131892 160428 174719 263784 320856 349438 524157 698876 1048314 1397752 2096628 4193256 5066851 10133702 15200553 20267404 30401106 40534808 60802212 121604424