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2623406940 = 2234571121031
BaseRepresentation
bin1001110001011110…
…0000001101011100
320202211101212210000
42130113200031130
520333043010230
61112152414300
7122003406510
oct23427401534
96684355700
102623406940
111126932510
126126a7390
1332a679ccb
141ac5b6140
151054a5b60
hex9c5e035c

2623406940 has 240 divisors, whose sum is σ = 10260923904. Its totient is φ = 545097600.

The previous prime is 2623406927. The next prime is 2623406953. The reversal of 2623406940 is 496043262.

It is an interprime number because it is at equal distance from previous prime (2623406927) and next prime (2623406953).

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

It is a junction number, because it is equal to n+sod(n) for n = 2623406895 and 2623406904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 114225 + ... + 135255.

Almost surely, 22623406940 is an apocalyptic number.

2623406940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2623406940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5130461952).

2623406940 is an abundant number, since it is smaller than the sum of its proper divisors (7637516964).

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

2623406940 is a wasteful number, since it uses less digits than its factorization.

2623406940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21070 (or 21059 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 2623406940 is about 51219.2047966385. The cubic root of 2623406940 is about 1379.1829757363.

The spelling of 2623406940 in words is "two billion, six hundred twenty-three million, four hundred six thousand, nine hundred forty".