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121552164 = 22341392699
BaseRepresentation
bin1110011111010…
…11110100100100
322110201111020000
413033223310210
5222104132124
620021141300
73004114326
oct717536444
9273644200
10121552164
1162681a38
123485a830
131c24b576
1412201616
15aa106c9
hex73ebd24

121552164 has 60 divisors (see below), whose sum is σ = 320166000. Its totient is φ = 40210992.

The previous prime is 121552157. The next prime is 121552181. The reversal of 121552164 is 461255121.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 43687 + ... + 46385.

It is an arithmetic number, because the mean of its divisors is an integer number (5336100).

Almost surely, 2121552164 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 121552164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160083000).

121552164 is an abundant number, since it is smaller than the sum of its proper divisors (198613836).

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

121552164 is a wasteful number, since it uses less digits than its factorization.

121552164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2854 (or 2843 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 121552164 is about 11025.0697956974. The cubic root of 121552164 is about 495.3599585643.

The spelling of 121552164 in words is "one hundred twenty-one million, five hundred fifty-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 139 162 278 324 417 556 834 1251 1668 2502 2699 3753 5004 5398 7506 8097 10796 11259 15012 16194 22518 24291 32388 45036 48582 72873 97164 145746 218619 291492 375161 437238 750322 874476 1125483 1500644 2250966 3376449 4501932 6752898 10129347 13505796 20258694 30388041 40517388 60776082 121552164