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152401704 = 233713312251
BaseRepresentation
bin10010001010101…
…11011100101000
3101121202210211120
421011113130220
5303003323304
623042255240
73530251560
oct1105273450
9347683746
10152401704
1179032724
1243057520
1325760130
1416351da0
15d5a60d9
hex9157728

152401704 has 128 divisors (see below), whose sum is σ = 484270080. Its totient is φ = 38880000.

The previous prime is 152401693. The next prime is 152401709. The reversal of 152401704 is 407104251.

152401704 = 2882 + 2892 + ... + 7832.

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

It is not an unprimeable number, because it can be changed into a prime (152401709) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 66579 + ... + 68829.

It is an arithmetic number, because the mean of its divisors is an integer number (3783360).

Almost surely, 2152401704 is an apocalyptic number.

152401704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152401704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242135040).

152401704 is an abundant number, since it is smaller than the sum of its proper divisors (331868376).

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

152401704 is a wasteful number, since it uses less digits than its factorization.

152401704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2311 (or 2307 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 152401704 is about 12345.1085049910. The cubic root of 152401704 is about 534.1500511148.

Adding to 152401704 its reverse (407104251), we get a palindrome (559505955).

It can be divided in two parts, 152 and 401704, that added together give a triangular number (401856 = T896).

The spelling of 152401704 in words is "one hundred fifty-two million, four hundred one thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 31 39 42 52 56 62 78 84 91 93 104 124 156 168 182 186 217 248 273 312 364 372 403 434 546 651 728 744 806 868 1092 1209 1302 1612 1736 2184 2251 2418 2604 2821 3224 4502 4836 5208 5642 6753 8463 9004 9672 11284 13506 15757 16926 18008 22568 27012 29263 31514 33852 47271 54024 58526 63028 67704 69781 87789 94542 117052 126056 139562 175578 189084 204841 209343 234104 279124 351156 378168 409682 418686 488467 558248 614523 702312 819364 837372 907153 976934 1229046 1465401 1638728 1674744 1814306 1953868 2458092 2721459 2930802 3628612 3907736 4916184 5442918 5861604 6350071 7257224 10885836 11723208 12700142 19050213 21771672 25400284 38100426 50800568 76200852 152401704