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152149116 = 223721731491
BaseRepresentation
bin10010001000110…
…01110001111100
3101121021222100110
421010121301330
5302422232431
623033030020
73525150300
oct1104316174
9347258313
10152149116
117897a979
1242b55310
13256a2182
14162c7d00
15d556346
hex9119c7c

152149116 has 144 divisors (see below), whose sum is σ = 452293632. Its totient is φ = 39513600.

The previous prime is 152149111. The next prime is 152149121. The reversal of 152149116 is 611941251.

It is an interprime number because it is at equal distance from previous prime (152149111) and next prime (152149121).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152149111) 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 47 ways as a sum of consecutive naturals, for example, 309631 + ... + 310121.

It is an arithmetic number, because the mean of its divisors is an integer number (3140928).

Almost surely, 2152149116 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 152149116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226146816).

152149116 is an abundant number, since it is smaller than the sum of its proper divisors (300144516).

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

152149116 is a wasteful number, since it uses less digits than its factorization.

152149116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 551 counting only the distinct ones).

The product of its digits is 2160, while the sum is 30.

The square root of 152149116 is about 12334.8739758459. The cubic root of 152149116 is about 533.8547908557.

The spelling of 152149116 in words is "one hundred fifty-two million, one hundred forty-nine thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 31 34 42 49 51 62 68 84 93 98 102 119 124 147 186 196 204 217 238 294 357 372 434 476 491 527 588 651 714 833 868 982 1054 1302 1428 1473 1519 1581 1666 1964 2108 2499 2604 2946 3038 3162 3332 3437 3689 4557 4998 5892 6076 6324 6874 7378 8347 9114 9996 10311 11067 13748 14756 15221 16694 18228 20622 22134 24059 25041 25823 30442 33388 41244 44268 45663 48118 50082 51646 58429 60884 72177 77469 91326 96236 100164 103292 106547 116858 144354 154938 175287 182652 213094 233716 258757 288708 309876 319641 350574 409003 426188 517514 639282 701148 745829 776271 818006 1035028 1227009 1278564 1491658 1552542 1636012 1811299 2237487 2454018 2983316 3105084 3622598 4474974 4908036 5433897 7245196 8949948 10867794 12679093 21735588 25358186 38037279 50716372 76074558 152149116