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151326720 = 212325821
BaseRepresentation
bin10010000010100…
…01000000000000
3101112202012020100
421001101000000
5302214423340
623003242400
73515153526
oct1101210000
9345665210
10151326720
1178469006
1242819400
1325474a4c
1416152316
15d442830
hex9051000

151326720 has 156 divisors (see below), whose sum is σ = 525174156. Its totient is φ = 40304640.

The previous prime is 151326709. The next prime is 151326731. The reversal of 151326720 is 27623151.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (151326709) and next prime (151326731).

It can be written as a sum of positive squares in 2 ways, for example, as 47775744 + 103550976 = 6912^2 + 10176^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 183910 + ... + 184730.

It is an arithmetic number, because the mean of its divisors is an integer number (3366501).

Almost surely, 2151326720 is an apocalyptic number.

151326720 is a gapful number since it is divisible by the number (10) 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 151326720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262587078).

151326720 is an abundant number, since it is smaller than the sum of its proper divisors (373847436).

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

151326720 is an equidigital number, since it uses as much as digits as its factorization.

151326720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 151326720 is about 12301.4925923646. The cubic root of 151326720 is about 532.8911891103.

Adding to 151326720 its reverse (27623151), we get a palindrome (178949871).

The spelling of 151326720 in words is "one hundred fifty-one million, three hundred twenty-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 821 960 1024 1152 1280 1440 1536 1642 1920 2048 2304 2463 2560 2880 3072 3284 3840 4096 4105 4608 4926 5120 5760 6144 6568 7389 7680 8210 9216 9852 10240 11520 12288 12315 13136 14778 15360 16420 18432 19704 20480 23040 24630 26272 29556 30720 32840 36864 36945 39408 46080 49260 52544 59112 61440 65680 73890 78816 92160 98520 105088 118224 131360 147780 157632 184320 197040 210176 236448 262720 295560 315264 394080 420352 472896 525440 591120 630528 788160 840704 945792 1050880 1182240 1261056 1576320 1681408 1891584 2101760 2364480 2522112 3152640 3362816 3783168 4203520 4728960 5044224 6305280 7566336 8407040 9457920 10088448 12610560 15132672 16814080 18915840 25221120 30265344 37831680 50442240 75663360 151326720