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130902016 = 211723397
BaseRepresentation
bin1111100110101…
…10100000000000
3100010022111210211
413303112200000
5232002331031
620553403504
73146435350
oct763264000
9303274724
10130902016
1167988693
1237a09594
132117321b
1413556b60
15b75abb1
hex7cd6800

130902016 has 96 divisors (see below), whose sum is σ = 312923520. Its totient is φ = 53526528.

The previous prime is 130902011. The next prime is 130902029. The reversal of 130902016 is 610209031.

It is not an unprimeable number, because it can be changed into a prime (130902011) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 329530 + ... + 329926.

It is an arithmetic number, because the mean of its divisors is an integer number (3259620).

Almost surely, 2130902016 is an apocalyptic number.

130902016 is a gapful number since it is divisible by the number (16) 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 130902016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156461760).

130902016 is an abundant number, since it is smaller than the sum of its proper divisors (182021504).

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

130902016 is an equidigital number, since it uses as much as digits as its factorization.

130902016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 130902016 is about 11441.2418906341. The cubic root of 130902016 is about 507.7486511554.

The spelling of 130902016 in words is "one hundred thirty million, nine hundred two thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 161 184 224 256 322 368 397 448 512 644 736 794 896 1024 1288 1472 1588 1792 2048 2576 2779 2944 3176 3584 5152 5558 5888 6352 7168 9131 10304 11116 11776 12704 14336 18262 20608 22232 23552 25408 36524 41216 44464 47104 50816 63917 73048 82432 88928 101632 127834 146096 164864 177856 203264 255668 292192 329728 355712 406528 511336 584384 711424 813056 1022672 1168768 1422848 2045344 2337536 2845696 4090688 4675072 5691392 8181376 9350144 16362752 18700288 32725504 65451008 130902016