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2029004640 = 253451312043
BaseRepresentation
bin111100011110000…
…0010011101100000
312020101221010010000
41320330002131200
513123411122030
6533200340000
7101165153265
oct17074023540
95211833100
102029004640
11951358243
12487614600
13264491280
1415368926c
15bd1e1860
hex78f02760

2029004640 has 240 divisors, whose sum is σ = 7712158608. Its totient is φ = 499405824.

The previous prime is 2029004573. The next prime is 2029004693. The reversal of 2029004640 is 464009202.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 162459 + ... + 174501.

Almost surely, 22029004640 is an apocalyptic number.

2029004640 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 2029004640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3856079304).

2029004640 is an abundant number, since it is smaller than the sum of its proper divisors (5683153968).

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

2029004640 is a wasteful number, since it uses less digits than its factorization.

2029004640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12083 (or 12066 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2029004640 is about 45044.4740229032. The cubic root of 2029004640 is about 1265.9824350116.

The spelling of 2029004640 in words is "two billion, twenty-nine million, four thousand, six hundred forty".