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1301032096 = 257131632741
BaseRepresentation
bin100110110001100…
…0010110010100000
310100200010021111221
41031203002302200
510131031011341
6333033344424
744145406330
oct11543026240
93320107457
101301032096
11608442741
12303868114
131797099a0
14c4b0d0c0
1579345ed1
hex4d8c2ca0

1301032096 has 96 divisors (see below), whose sum is σ = 3172998528. Its totient is φ = 511349760.

The previous prime is 1301032079. The next prime is 1301032097. The reversal of 1301032096 is 6902301031.

It is a self number, because there is not a number n which added to its sum of digits gives 1301032096.

It is not an unprimeable number, because it can be changed into a prime (1301032097) 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, 473286 + ... + 476026.

It is an arithmetic number, because the mean of its divisors is an integer number (33052068).

Almost surely, 21301032096 is an apocalyptic number.

1301032096 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 1301032096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586499264).

1301032096 is an abundant number, since it is smaller than the sum of its proper divisors (1871966432).

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

1301032096 is a wasteful number, since it uses less digits than its factorization.

1301032096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2934 (or 2926 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 1301032096 is about 36069.8225113460. The cubic root of 1301032096 is about 1091.6816328724.

The spelling of 1301032096 in words is "one billion, three hundred one million, thirty-two thousand, ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 163 182 208 224 326 364 416 652 728 1141 1304 1456 2119 2282 2608 2741 2912 4238 4564 5216 5482 8476 9128 10964 14833 16952 18256 19187 21928 29666 33904 35633 36512 38374 43856 59332 67808 71266 76748 87712 118664 142532 153496 237328 249431 285064 306992 446783 474656 498862 570128 613984 893566 997724 1140256 1787132 1995448 3127481 3574264 3990896 5808179 6254962 7148528 7981792 11616358 12509924 14297056 23232716 25019848 40657253 46465432 50039696 81314506 92930864 100079392 162629012 185861728 325258024 650516048 1301032096