Search a number
-
+
152650400 = 2552727259
BaseRepresentation
bin10010001100101…
…00001010100000
3101122020102222112
421012110022200
5303034303100
623051454452
73532335620
oct1106241240
9348212875
10152650400
1179192561
1243157428
13258193a6
14163b8880
15d604b35
hex91942a0

152650400 has 72 divisors (see below), whose sum is σ = 425910240. Its totient is φ = 52335360.

The previous prime is 152650369. The next prime is 152650409. The reversal of 152650400 is 4056251.

It is not an unprimeable number, because it can be changed into a prime (152650409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8030 + ... + 19229.

It is an arithmetic number, because the mean of its divisors is an integer number (5915420).

Almost surely, 2152650400 is an apocalyptic number.

152650400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152650400 is an abundant number, since it is smaller than the sum of its proper divisors (273259840).

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

152650400 is a wasteful number, since it uses less digits than its factorization.

152650400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27286 (or 27273 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 152650400 is about 12355.1770525557. The cubic root of 152650400 is about 534.4404432920.

The spelling of 152650400 in words is "one hundred fifty-two million, six hundred fifty thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 140 160 175 200 224 280 350 400 560 700 800 1120 1400 2800 5600 27259 54518 109036 136295 190813 218072 272590 381626 436144 545180 681475 763252 872288 954065 1090360 1362950 1526504 1908130 2180720 2725900 3053008 3816260 4361440 4770325 5451800 6106016 7632520 9540650 10903600 15265040 19081300 21807200 30530080 38162600 76325200 152650400