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152333104 = 24711612027
BaseRepresentation
bin10010001010001…
…10101100110000
3101121122022201211
421011012230300
5302444124404
623041005504
73526544560
oct1105065460
9347568654
10152333104
1178a96130
1243023894
1325737b41
1416334da0
15d590b04
hex9146b30

152333104 has 80 divisors (see below), whose sum is σ = 374190336. Its totient is φ = 58348800.

The previous prime is 152333053. The next prime is 152333119. The reversal of 152333104 is 401333251.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74139 + ... + 76165.

Almost surely, 2152333104 is an apocalyptic number.

152333104 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 152333104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187095168).

152333104 is an abundant number, since it is smaller than the sum of its proper divisors (221857232).

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

152333104 is a wasteful number, since it uses less digits than its factorization.

152333104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2114 (or 2108 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 152333104 is about 12342.3297638655. The cubic root of 152333104 is about 534.0698941089.

Adding to 152333104 its reverse (401333251), we get a palindrome (553666355).

The spelling of 152333104 in words is "one hundred fifty-two million, three hundred thirty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 61 77 88 112 122 154 176 244 308 427 488 616 671 854 976 1232 1342 1708 2027 2684 3416 4054 4697 5368 6832 8108 9394 10736 14189 16216 18788 22297 28378 32432 37576 44594 56756 75152 89188 113512 123647 156079 178376 227024 247294 312158 356752 494588 624316 865529 989176 1248632 1360117 1731058 1978352 2497264 2720234 3462116 5440468 6924232 9520819 10880936 13848464 19041638 21761872 38083276 76166552 152333104