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163138300 = 225213671873
BaseRepresentation
bin10011011100101…
…00101011111100
3102100222021200021
421232110223330
5313230411200
624104341524
74020436603
oct1156245374
9370867607
10163138300
11840a6246
12467748a4
1327a4c050
1417948a3a
15e4c741a
hex9b94afc

163138300 has 72 divisors (see below), whose sum is σ = 387138416. Its totient is φ = 59304960.

The previous prime is 163138289. The next prime is 163138309. The reversal of 163138300 is 3831361.

It is a happy number.

It is a super-2 number, since 2×1631383002 = 53228209853780000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163138309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86164 + ... + 88036.

Almost surely, 2163138300 is an apocalyptic number.

163138300 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 163138300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193569208).

163138300 is an abundant number, since it is smaller than the sum of its proper divisors (224000116).

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

163138300 is a wasteful number, since it uses less digits than its factorization.

163138300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1967 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 163138300 is about 12772.5604324270. The cubic root of 163138300 is about 546.4100065907.

Adding to 163138300 its reverse (3831361), we get a palindrome (166969661).

The spelling of 163138300 in words is "one hundred sixty-three million, one hundred thirty-eight thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 67 100 130 134 260 268 325 335 650 670 871 1300 1340 1675 1742 1873 3350 3484 3746 4355 6700 7492 8710 9365 17420 18730 21775 24349 37460 43550 46825 48698 87100 93650 97396 121745 125491 187300 243490 250982 486980 501964 608725 627455 1217450 1254910 1631383 2434900 2509820 3137275 3262766 6274550 6525532 8156915 12549100 16313830 32627660 40784575 81569150 163138300