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121532152 = 23723173137
BaseRepresentation
bin1110011111001…
…10111011111000
322110200110202211
413033212323320
5222103012102
620020504504
73004002100
oct717467370
9273613684
10121532152
11626689a5
123484b134
131c242421
14121d8200
15aa097d7
hex73e6ef8

121532152 has 96 divisors (see below), whose sum is σ = 279400320. Its totient is φ = 49351680.

The previous prime is 121532149. The next prime is 121532209. The reversal of 121532152 is 251235121.

It is a super-2 number, since 2×1215321522 = 29540127939502208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 887028 + ... + 887164.

It is an arithmetic number, because the mean of its divisors is an integer number (2910420).

Almost surely, 2121532152 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 121532152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139700160).

121532152 is an abundant number, since it is smaller than the sum of its proper divisors (157868168).

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

121532152 is a wasteful number, since it uses less digits than its factorization.

121532152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 250 counting only the distinct ones).

The product of its digits is 600, while the sum is 22.

The square root of 121532152 is about 11024.1621903889. The cubic root of 121532152 is about 495.3327721909.

Adding to 121532152 its reverse (251235121), we get a palindrome (372767273).

The spelling of 121532152 in words is "one hundred twenty-one million, five hundred thirty-two thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 31 49 56 62 73 98 124 137 146 196 217 248 274 292 392 434 511 548 584 868 959 1022 1096 1519 1736 1918 2044 2263 3038 3577 3836 4088 4247 4526 6076 6713 7154 7672 8494 9052 10001 12152 13426 14308 15841 16988 18104 20002 26852 28616 29729 31682 33976 40004 53704 59458 63364 70007 80008 110887 118916 126728 140014 208103 221774 237832 280028 310031 416206 443548 490049 560056 620062 832412 887096 980098 1240124 1664824 1960196 2170217 2480248 3920392 4340434 8680868 15191519 17361736 30383038 60766076 121532152