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2693822040 = 23325721317691
BaseRepresentation
bin1010000010010000…
…0111011001011000
320221201220100010200
42200210013121120
521004104301130
61123145542200
7123520052400
oct24044073130
96851810120
102693822040
111162657408
126321a4960
1333c132750
141b7aa5800
1510b764760
hexa0907658

2693822040 has 576 divisors, whose sum is σ = 11629668960. Its totient is φ = 534159360.

The previous prime is 2693821993. The next prime is 2693822051. The reversal of 2693822040 is 402283962.

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 = 2693821986 and 2693822004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3898095 + ... + 3898785.

Almost surely, 22693822040 is an apocalyptic number.

2693822040 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 2693822040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5814834480).

2693822040 is an abundant number, since it is smaller than the sum of its proper divisors (8935846920).

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

2693822040 is a wasteful number, since it uses less digits than its factorization.

2693822040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2693822040 is about 51902.0427343664. The cubic root of 2693822040 is about 1391.4137815966.

The spelling of 2693822040 in words is "two billion, six hundred ninety-three million, eight hundred twenty-two thousand, forty".