Search a number
-
+
152103534 = 23112535967
BaseRepresentation
bin10010001000011…
…10101001101110
3101121012122211020
421010032221232
5302414303114
623032035010
73524600352
oct1104165156
9347178736
10152103534
1178949700
1242b32a66
13256874bb
14162b5462
15d547aa9
hex910ea6e

152103534 has 96 divisors (see below), whose sum is σ = 351630720. Its totient is φ = 43792320.

The previous prime is 152103527. The next prime is 152103541. The reversal of 152103534 is 435301251.

It is an interprime number because it is at equal distance from previous prime (152103527) and next prime (152103541).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2270169 + ... + 2270235.

It is an arithmetic number, because the mean of its divisors is an integer number (3662820).

Almost surely, 2152103534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152103534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175815360).

152103534 is an abundant number, since it is smaller than the sum of its proper divisors (199527186).

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

152103534 is a wasteful number, since it uses less digits than its factorization.

152103534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 152103534 is about 12333.0261493277. The cubic root of 152103534 is about 533.8014734257.

Adding to 152103534 its reverse (435301251), we get a palindrome (587404785).

The spelling of 152103534 in words is "one hundred fifty-two million, one hundred three thousand, five hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 53 59 66 67 106 118 121 134 159 177 201 242 318 354 363 402 583 649 726 737 1166 1298 1474 1749 1947 2211 3127 3498 3551 3894 3953 4422 6254 6413 7102 7139 7906 8107 9381 10653 11859 12826 14278 16214 18762 19239 21306 21417 23718 24321 34397 38478 39061 42834 43483 48642 68794 78122 86966 103191 117183 130449 206382 209509 234366 260898 378367 419018 429671 478313 628527 756734 859342 956626 1135101 1257054 1289013 1434939 2270202 2304599 2578026 2869878 4609198 6913797 13827594 25350589 50701178 76051767 152103534