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2091416440 = 235151346261
BaseRepresentation
bin111110010101000…
…0111101101111000
312101202100222000011
41330222013231320
513240400311230
6543310151304
7102553514011
oct17452075570
95352328004
102091416440
11983606143
124a44b2534
132743a3c29
1415ba94008
15c391de2a
hex7ca87b78

2091416440 has 32 divisors (see below), whose sum is σ = 4736864160. Its totient is φ = 831024000.

The previous prime is 2091416401. The next prime is 2091416443. The reversal of 2091416440 is 446141902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2091416443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 167091 + ... + 179170.

It is an arithmetic number, because the mean of its divisors is an integer number (148027005).

Almost surely, 22091416440 is an apocalyptic number.

2091416440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2091416440 is an abundant number, since it is smaller than the sum of its proper divisors (2645447720).

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

2091416440 is a wasteful number, since it uses less digits than its factorization.

2091416440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346423 (or 346419 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 2091416440 is about 45732.0067348897. The cubic root of 2091416440 is about 1278.8320319131.

The spelling of 2091416440 in words is "two billion, ninety-one million, four hundred sixteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 151 302 604 755 1208 1510 3020 6040 346261 692522 1385044 1731305 2770088 3462610 6925220 13850440 52285411 104570822 209141644 261427055 418283288 522854110 1045708220 2091416440