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130226304 = 27313191373
BaseRepresentation
bin1111100001100…
…01100010000000
3100002001011220110
413300301202000
5231314220204
620531111320
73140622345
oct760614200
9302034813
10130226304
1167566a4a
1237742540
1320c977b0
141341c7cc
15b675889
hex7c31880

130226304 has 128 divisors (see below), whose sum is σ = 392414400. Its totient is φ = 37933056.

The previous prime is 130226297. The next prime is 130226311. The reversal of 130226304 is 403622031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (130226297) and next prime (130226311).

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94162 + ... + 95534.

Almost surely, 2130226304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130226304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196207200).

130226304 is an abundant number, since it is smaller than the sum of its proper divisors (262188096).

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

130226304 is a wasteful number, since it uses less digits than its factorization.

130226304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 130226304 is about 11411.6740226840. The cubic root of 130226304 is about 506.8734828197.

Adding to 130226304 its reverse (403622031), we get a palindrome (533848335).

The spelling of 130226304 in words is "one hundred thirty million, two hundred twenty-six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 64 76 78 96 104 114 128 152 156 192 208 228 247 304 312 384 416 456 494 608 624 741 832 912 988 1216 1248 1373 1482 1664 1824 1976 2432 2496 2746 2964 3648 3952 4119 4992 5492 5928 7296 7904 8238 10984 11856 15808 16476 17849 21968 23712 26087 31616 32952 35698 43936 47424 52174 53547 65904 71396 78261 87872 94848 104348 107094 131808 142792 156522 175744 208696 214188 263616 285584 313044 339131 417392 428376 527232 571168 626088 678262 834784 856752 1017393 1142336 1252176 1356524 1669568 1713504 2034786 2284672 2504352 2713048 3339136 3427008 4069572 5008704 5426096 6854016 8139144 10017408 10852192 16278288 21704384 32556576 43408768 65113152 130226304