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152314100 = 22521523141
BaseRepresentation
bin10010001010000…
…10000011110100
3101121121100122222
421011002003310
5302443022400
623040341512
73526435301
oct1105020364
9347540588
10152314100
1178a82924
1243014898
132572c2b3
141632c0a8
15d58a185
hex91420f4

152314100 has 18 divisors (see below), whose sum is σ = 330521814. Its totient is φ = 60925600.

The previous prime is 152314039. The next prime is 152314109. The reversal of 152314100 is 1413251.

It can be written as a sum of positive squares in 3 ways, for example, as 1073296 + 151240804 = 1036^2 + 12298^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152314109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 761471 + ... + 761670.

It is an arithmetic number, because the mean of its divisors is an integer number (18362323).

Almost surely, 2152314100 is an apocalyptic number.

152314100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152314100 is an abundant number, since it is smaller than the sum of its proper divisors (178207714).

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

152314100 is a wasteful number, since it uses less digits than its factorization.

152314100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523155 (or 1523148 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 152314100 is about 12341.5598689955. The cubic root of 152314100 is about 534.0476842585.

Adding to 152314100 its reverse (1413251), we get a palindrome (153727351).

The spelling of 152314100 in words is "one hundred fifty-two million, three hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1523141 3046282 6092564 7615705 15231410 30462820 38078525 76157050 152314100