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152606720 = 211572129
BaseRepresentation
bin10010001100010…
…01100000000000
3101122011020001202
421012021200000
5303031403340
623050520332
73532064360
oct1106114000
9348136052
10152606720
1179162762
12431360a8
1325802546
14163a69a0
15d5e6c15
hex9189800

152606720 has 96 divisors (see below), whose sum is σ = 418672800. Its totient is φ = 52297728.

The previous prime is 152606687. The next prime is 152606723. The reversal of 152606720 is 27606251.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152606723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70616 + ... + 72744.

It is an arithmetic number, because the mean of its divisors is an integer number (4361175).

Almost surely, 2152606720 is an apocalyptic number.

152606720 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 152606720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209336400).

152606720 is an abundant number, since it is smaller than the sum of its proper divisors (266066080).

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

152606720 is an equidigital number, since it uses as much as digits as its factorization.

152606720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2163 (or 2143 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 152606720 is about 12353.4092460341. The cubic root of 152606720 is about 534.3894627824.

The spelling of 152606720 in words is "one hundred fifty-two million, six hundred six thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1024 1120 1280 1792 2048 2129 2240 2560 3584 4258 4480 5120 7168 8516 8960 10240 10645 14336 14903 17032 17920 21290 29806 34064 35840 42580 59612 68128 71680 74515 85160 119224 136256 149030 170320 238448 272512 298060 340640 476896 545024 596120 681280 953792 1090048 1192240 1362560 1907584 2180096 2384480 2725120 3815168 4360192 4768960 5450240 7630336 9537920 10900480 15260672 19075840 21800960 30521344 38151680 76303360 152606720