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130321920 = 293571239
BaseRepresentation
bin1111100010010…
…00111000000000
3100002020001001210
413301020320000
5231330300140
620533130120
73141501201
oct761107000
9302201053
10130321920
1167621873
1237789940
1320ccc181
14134455a8
15b693d80
hex7c48e00

130321920 has 160 divisors (see below), whose sum is σ = 424258560. Its totient is φ = 34119680.

The previous prime is 130321907. The next prime is 130321921. The reversal of 130321920 is 29123031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130321921) 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, 545161 + ... + 545399.

It is an arithmetic number, because the mean of its divisors is an integer number (2651616).

Almost surely, 2130321920 is an apocalyptic number.

130321920 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 130321920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212129280).

130321920 is an abundant number, since it is smaller than the sum of its proper divisors (293936640).

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

130321920 is an equidigital number, since it uses as much as digits as its factorization.

130321920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 130321920 is about 11415.8626480875. The cubic root of 130321920 is about 506.9975062998.

Adding to 130321920 its reverse (29123031), we get a palindrome (159444951).

The spelling of 130321920 in words is "one hundred thirty million, three hundred twenty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 71 80 96 120 128 142 160 192 213 239 240 256 284 320 355 384 426 478 480 512 568 640 710 717 768 852 956 960 1065 1136 1195 1280 1420 1434 1536 1704 1912 1920 2130 2272 2390 2560 2840 2868 3408 3585 3824 3840 4260 4544 4780 5680 5736 6816 7170 7648 7680 8520 9088 9560 11360 11472 13632 14340 15296 16969 17040 18176 19120 22720 22944 27264 28680 30592 33938 34080 36352 38240 45440 45888 50907 54528 57360 61184 67876 68160 76480 84845 90880 91776 101814 109056 114720 122368 135752 136320 152960 169690 181760 183552 203628 229440 254535 271504 272640 305920 339380 367104 407256 458880 509070 543008 545280 611840 678760 814512 917760 1018140 1086016 1357520 1629024 1835520 2036280 2172032 2715040 3258048 4072560 4344064 5430080 6516096 8145120 8688128 10860160 13032192 16290240 21720320 26064384 32580480 43440640 65160960 130321920