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152215080 = 233519101661
BaseRepresentation
bin10010001001010…
…01111000101000
3101121102022211120
421010221320220
5302431340310
623034255240
73525543513
oct1104517050
9347368746
10152215080
1178a15496
1242b87520
13256c61c4
1416303d7a
15d56ab70
hex9129e28

152215080 has 128 divisors (see below), whose sum is σ = 486172800. Its totient is φ = 38016000.

The previous prime is 152215079. The next prime is 152215087. The reversal of 152215080 is 80512251.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 152215080.

It is not an unprimeable number, because it can be changed into a prime (152215087) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 229950 + ... + 230610.

It is an arithmetic number, because the mean of its divisors is an integer number (3798225).

Almost surely, 2152215080 is an apocalyptic number.

152215080 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 152215080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243086400).

152215080 is an abundant number, since it is smaller than the sum of its proper divisors (333957720).

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

152215080 is a wasteful number, since it uses less digits than its factorization.

152215080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 152215080 is about 12337.5475682974. The cubic root of 152215080 is about 533.9319303323.

It can be divided in two parts, 15221 and 5080, that added together give a triangular number (20301 = T201).

The spelling of 152215080 in words is "one hundred fifty-two million, two hundred fifteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 101 114 120 152 190 202 228 285 303 380 404 456 505 570 606 661 760 808 1010 1140 1212 1322 1515 1919 1983 2020 2280 2424 2644 3030 3305 3838 3966 4040 5288 5757 6060 6610 7676 7932 9595 9915 11514 12120 12559 13220 15352 15864 19190 19830 23028 25118 26440 28785 37677 38380 39660 46056 50236 57570 62795 66761 75354 76760 79320 100472 115140 125590 133522 150708 188385 200283 230280 251180 267044 301416 333805 376770 400566 502360 534088 667610 753540 801132 1001415 1268459 1335220 1507080 1602264 2002830 2536918 2670440 3805377 4005660 5073836 6342295 7610754 8011320 10147672 12684590 15221508 19026885 25369180 30443016 38053770 50738360 76107540 152215080