Search a number
-
+
152308704 = 2533161839
BaseRepresentation
bin10010001010000…
…00101111100000
3101121121002021010
421011000233200
5302442334304
623040300520
73526413462
oct1105005740
9347532233
10152308704
1178a79869
1243011740
13257299c2
141632a132
15d588789
hex9140be0

152308704 has 96 divisors (see below), whose sum is σ = 419973120. Its totient is φ = 48268800.

The previous prime is 152308679. The next prime is 152308711. The reversal of 152308704 is 407803251.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181117 + ... + 181955.

It is an arithmetic number, because the mean of its divisors is an integer number (4374720).

Almost surely, 2152308704 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 152308704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209986560).

152308704 is an abundant number, since it is smaller than the sum of its proper divisors (267664416).

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

152308704 is a wasteful number, since it uses less digits than its factorization.

152308704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 152308704 is about 12341.3412561196. The cubic root of 152308704 is about 534.0413776519.

The spelling of 152308704 in words is "one hundred fifty-two million, three hundred eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 61 62 93 96 122 124 183 186 244 248 366 372 488 496 732 744 839 976 992 1464 1488 1678 1891 1952 2517 2928 2976 3356 3782 5034 5673 5856 6712 7564 10068 11346 13424 15128 20136 22692 26009 26848 30256 40272 45384 51179 52018 60512 78027 80544 90768 102358 104036 153537 156054 181536 204716 208072 307074 312108 409432 416144 614148 624216 818864 832288 1228296 1248432 1586549 1637728 2456592 2496864 3173098 4759647 4913184 6346196 9519294 12692392 19038588 25384784 38077176 50769568 76154352 152308704