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153414012 = 223531092213
BaseRepresentation
bin10010010010011…
…10100101111100
3101200200020110110
421021032211330
5303233222022
623120110020
73541666113
oct1111164574
9350606413
10153414012
1179664244
1243465310
1325a25b2b
1416536c7a
15d70600c
hex924e97c

153414012 has 48 divisors (see below), whose sum is σ = 368232480. Its totient is φ = 49690368.

The previous prime is 153414011. The next prime is 153414029. The reversal of 153414012 is 210414351.

153414012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1534140122 = 47071718155872288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 153414012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153414011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68218 + ... + 70430.

It is an arithmetic number, because the mean of its divisors is an integer number (7671510).

Almost surely, 2153414012 is an apocalyptic number.

153414012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

153414012 is an abundant number, since it is smaller than the sum of its proper divisors (214818468).

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

153414012 is a wasteful number, since it uses less digits than its factorization.

153414012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2382 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 153414012 is about 12386.0410139802. The cubic root of 153414012 is about 535.3301156514.

Adding to 153414012 its reverse (210414351), we get a palindrome (363828363).

The spelling of 153414012 in words is "one hundred fifty-three million, four hundred fourteen thousand, twelve".

Divisors: 1 2 3 4 6 12 53 106 109 159 212 218 318 327 436 636 654 1308 2213 4426 5777 6639 8852 11554 13278 17331 23108 26556 34662 69324 117289 234578 241217 351867 469156 482434 703734 723651 964868 1407468 1447302 2894604 12784501 25569002 38353503 51138004 76707006 153414012