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152210720 = 2553173001
BaseRepresentation
bin10010001001010…
…00110100100000
3101121102002212002
421010220310200
5302431220340
623034223132
73525525014
oct1104506440
9347362762
10152210720
1178a12192
1242b84aa8
13256c421c
1416302544
15d569715
hex9128d20

152210720 has 48 divisors (see below), whose sum is σ = 360852408. Its totient is φ = 60672000.

The previous prime is 152210719. The next prime is 152210743. The reversal of 152210720 is 27012251.

152210720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 86341264 + 65869456 = 9292^2 + 8116^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 152210692 and 152210701.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49220 + ... + 52220.

Almost surely, 2152210720 is an apocalyptic number.

152210720 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 152210720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180426204).

152210720 is an abundant number, since it is smaller than the sum of its proper divisors (208641688).

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

152210720 is a wasteful number, since it uses less digits than its factorization.

152210720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3333 (or 3325 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 152210720 is about 12337.3708706515. The cubic root of 152210720 is about 533.9268323585.

Adding to 152210720 its reverse (27012251), we get a palindrome (179222971).

The spelling of 152210720 in words is "one hundred fifty-two million, two hundred ten thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 317 634 1268 1585 2536 3001 3170 5072 6002 6340 10144 12004 12680 15005 24008 25360 30010 48016 50720 60020 96032 120040 240080 480160 951317 1902634 3805268 4756585 7610536 9513170 15221072 19026340 30442144 38052680 76105360 152210720