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2121392460 = 2235113214231
BaseRepresentation
bin111111001110001…
…1110000101001100
312110211202220101010
41332130132011030
513321034024320
6550300445220
7103366352445
oct17634360514
95424686333
102121392460
1199951a610
124b2549810
1327a66b015
14161a582cc
15c6390ae0
hex7e71e14c

2121392460 has 48 divisors (see below), whose sum is σ = 6479891712. Its totient is φ = 514276800.

The previous prime is 2121392437. The next prime is 2121392467. The reversal of 2121392460 is 642931212.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2121392467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1606456 + ... + 1607775.

It is an arithmetic number, because the mean of its divisors is an integer number (134997744).

Almost surely, 22121392460 is an apocalyptic number.

2121392460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121392460 is an abundant number, since it is smaller than the sum of its proper divisors (4358499252).

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

2121392460 is a wasteful number, since it uses less digits than its factorization.

2121392460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3214254 (or 3214252 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 2121392460 is about 46058.5764000582. The cubic root of 2121392460 is about 1284.9128537346.

The spelling of 2121392460 in words is "two billion, one hundred twenty-one million, three hundred ninety-two thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 3214231 6428462 9642693 12856924 16071155 19285386 32142310 35356541 38570772 48213465 64284620 70713082 96426930 106069623 141426164 176782705 192853860 212139246 353565410 424278492 530348115 707130820 1060696230 2121392460