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1311876048 = 243738910037
BaseRepresentation
bin100111000110001…
…1010001111010000
310101102112012121210
41032030122033100
510141320013143
6334102020120
744336522340
oct11614321720
93342465553
101311876048
1161357998a
12307417640
1317ba35722
14c6332d20
157a289033
hex4e31a3d0

1311876048 has 80 divisors (see below), whose sum is σ = 3883501440. Its totient is φ = 373820928.

The previous prime is 1311875953. The next prime is 1311876053. The reversal of 1311876048 is 8406781131.

It is a junction number, because it is equal to n+sod(n) for n = 1311875997 and 1311876015.

It is a congruent number.

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, 125686 + ... + 135722.

It is an arithmetic number, because the mean of its divisors is an integer number (48543768).

Almost surely, 21311876048 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 1311876048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1941750720).

1311876048 is an abundant number, since it is smaller than the sum of its proper divisors (2571625392).

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

1311876048 is a wasteful number, since it uses less digits than its factorization.

1311876048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10444 (or 10438 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 1311876048 is about 36219.8294860702. The cubic root of 1311876048 is about 1094.7062584411.

The spelling of 1311876048 in words is "one billion, three hundred eleven million, eight hundred seventy-six thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 389 778 1167 1556 2334 2723 3112 4668 5446 6224 8169 9336 10037 10892 16338 18672 20074 21784 30111 32676 40148 43568 60222 65352 70259 80296 120444 130704 140518 160592 210777 240888 281036 421554 481776 562072 843108 1124144 1686216 3372432 3904393 7808786 11713179 15617572 23426358 27330751 31235144 46852716 54661502 62470288 81992253 93705432 109323004 163984506 187410864 218646008 327969012 437292016 655938024 1311876048