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153134300 = 2252111719431
BaseRepresentation
bin10010010000010…
…10010011011100
3101200011000202202
421020022103130
5303200244200
623110111032
73536422454
oct1110122334
9350130682
10153134300
1179493080
124334b478
1325958717
14164a2d64
15d69d1d5
hex920a4dc

153134300 has 144 divisors (see below), whose sum is σ = 404974080. Its totient is φ = 49536000.

The previous prime is 153134279. The next prime is 153134381. The reversal of 153134300 is 3431351.

It is a happy number.

It is a super-2 number, since 2×1531343002 = 46900227672980000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 355085 + ... + 355515.

It is an arithmetic number, because the mean of its divisors is an integer number (2812320).

Almost surely, 2153134300 is an apocalyptic number.

153134300 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 153134300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202487040).

153134300 is an abundant number, since it is smaller than the sum of its proper divisors (251839780).

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

153134300 is a wasteful number, since it uses less digits than its factorization.

153134300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 153134300 is about 12374.7444418057. The cubic root of 153134300 is about 535.0045709570.

Adding to 153134300 its reverse (3431351), we get a palindrome (156565651).

The spelling of 153134300 in words is "one hundred fifty-three million, one hundred thirty-four thousand, three hundred".

Divisors: 1 2 4 5 10 11 17 19 20 22 25 34 38 44 50 55 68 76 85 95 100 110 170 187 190 209 220 275 323 340 374 380 418 425 431 475 550 646 748 836 850 862 935 950 1045 1100 1292 1615 1700 1724 1870 1900 2090 2155 3230 3553 3740 4180 4310 4675 4741 5225 6460 7106 7327 8075 8189 8620 9350 9482 10450 10775 14212 14654 16150 16378 17765 18700 18964 20900 21550 23705 29308 32300 32756 35530 36635 40945 43100 47410 71060 73270 80597 81890 88825 90079 94820 118525 139213 146540 161194 163780 177650 180158 183175 204725 237050 278426 322388 355300 360316 366350 402985 409450 450395 474100 556852 696065 732700 805970 818900 900790 1392130 1531343 1611940 1801580 2014925 2251975 2784260 3062686 3480325 4029850 4503950 6125372 6960650 7656715 8059700 9007900 13921300 15313430 30626860 38283575 76567150 153134300