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2107740096 = 263372113173
BaseRepresentation
bin111110110100001…
…1000111111000000
312102220002021212000
41331220120333000
513304040140341
6545052104000
7103142331600
oct17550307700
95386067760
102107740096
11991845370
124a9a65000
1327789abb7
1415dd02c00
15c50958b6
hex7da18fc0

2107740096 has 672 divisors, whose sum is σ = 8228136960. Its totient is φ = 522547200.

The previous prime is 2107740043. The next prime is 2107740101. The reversal of 2107740096 is 6900477012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2107740096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28873116 + ... + 28873188.

Almost surely, 22107740096 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 2107740096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4114068480).

2107740096 is an abundant number, since it is smaller than the sum of its proper divisors (6120396864).

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

2107740096 is a wasteful number, since it uses less digits than its factorization.

2107740096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 2107740096 is about 45910.1306467320. The cubic root of 2107740096 is about 1282.1505384850.

The spelling of 2107740096 in words is "two billion, one hundred seven million, seven hundred forty thousand, ninety-six".