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151409232 = 243213292789
BaseRepresentation
bin10010000011001…
…01001001010000
3101112220101102100
421001211021100
5302230043412
623005120400
73515646222
oct1101451120
9345811370
10151409232
1178514aa7
1242859100
13254a3480
1416174412
15d45bedc
hex9065250

151409232 has 120 divisors (see below), whose sum is σ = 472235400. Its totient is φ = 44964864.

The previous prime is 151409221. The next prime is 151409243. The reversal of 151409232 is 232904151.

It is an interprime number because it is at equal distance from previous prime (151409221) and next prime (151409243).

It can be written as a sum of positive squares in 4 ways, for example, as 11128896 + 140280336 = 3336^2 + 11844^2 .

It is a junction number, because it is equal to n+sod(n) for n = 151409196 and 151409205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52894 + ... + 55682.

It is an arithmetic number, because the mean of its divisors is an integer number (3935295).

Almost surely, 2151409232 is an apocalyptic number.

151409232 is a gapful number since it is divisible by the number (12) 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 151409232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236117700).

151409232 is an abundant number, since it is smaller than the sum of its proper divisors (320826168).

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

151409232 is a wasteful number, since it uses less digits than its factorization.

151409232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2845 (or 2836 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 151409232 is about 12304.8458746951. The cubic root of 151409232 is about 532.9880257839.

The spelling of 151409232 in words is "one hundred fifty-one million, four hundred nine thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 29 36 39 48 52 58 72 78 87 104 116 117 144 156 174 208 232 234 261 312 348 377 464 468 522 624 696 754 936 1044 1131 1392 1508 1872 2088 2262 2789 3016 3393 4176 4524 5578 6032 6786 8367 9048 11156 13572 16734 18096 22312 25101 27144 33468 36257 44624 50202 54288 66936 72514 80881 100404 108771 133872 145028 161762 200808 217542 242643 290056 323524 326313 401616 435084 485286 580112 647048 652626 727929 870168 970572 1051453 1294096 1305252 1455858 1740336 1941144 2102906 2610504 2911716 3154359 3882288 4205812 5221008 5823432 6308718 8411624 9463077 11646864 12617436 16823248 18926154 25234872 37852308 50469744 75704616 151409232