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2107039392 = 2535270967
BaseRepresentation
bin111110110010110…
…1101111010100000
312102211202200200000
41331211231322200
513303400230032
6545025100000
7103133352663
oct17545557240
95384680600
102107039392
11991406977
124a9787600
132776b3c93
1415db9d6da
15c4ea7e7c
hex7d96dea0

2107039392 has 72 divisors (see below), whose sum is σ = 6213838176. Its totient is φ = 702343872.

The previous prime is 2107039373. The next prime is 2107039393. The reversal of 2107039392 is 2939307012.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×21070393923 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2107039393) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 127708 + ... + 143259.

It is an arithmetic number, because the mean of its divisors is an integer number (86303308).

Almost surely, 22107039392 is an apocalyptic number.

It is an amenable number.

2107039392 is an abundant number, since it is smaller than the sum of its proper divisors (4106798784).

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

2107039392 is an equidigital number, since it uses as much as digits as its factorization.

2107039392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270992 (or 270972 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 2107039392 is about 45902.4987555144. The cubic root of 2107039392 is about 1282.0084419670.

The spelling of 2107039392 in words is "two billion, one hundred seven million, thirty-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 7776 270967 541934 812901 1083868 1625802 2167736 2438703 3251604 4335472 4877406 6503208 7316109 8670944 9754812 13006416 14632218 19509624 21948327 26012832 29264436 39019248 43896654 58528872 65844981 78038496 87793308 117057744 131689962 175586616 234115488 263379924 351173232 526759848 702346464 1053519696 2107039392