Search a number
-
+
2906883040 = 255171068707
BaseRepresentation
bin1010110101000011…
…1000001111100000
321111120210221212211
42231100320033200
521423130224130
61200240331504
7132015045445
oct25520701740
97446727784
102906883040
111261950286
12691613b94
13374310949
141d80c79cc
151202eda2a
hexad4383e0

2906883040 has 48 divisors (see below), whose sum is σ = 7271489232. Its totient is φ = 1094354944.

The previous prime is 2906883029. The next prime is 2906883043. The reversal of 2906883040 is 403886092.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2906882984 and 2906883002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2906883043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 531634 + ... + 537073.

It is an arithmetic number, because the mean of its divisors is an integer number (151489359).

Almost surely, 22906883040 is an apocalyptic number.

2906883040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2906883040 is an abundant number, since it is smaller than the sum of its proper divisors (4364606192).

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

2906883040 is a wasteful number, since it uses less digits than its factorization.

2906883040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068739 (or 1068731 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 2906883040 is about 53915.5176178436. The cubic root of 2906883040 is about 1427.1704754947.

The spelling of 2906883040 in words is "two billion, nine hundred six million, eight hundred eighty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 1068707 2137414 4274828 5343535 8549656 10687070 17099312 18168019 21374140 34198624 36336038 42748280 72672076 85496560 90840095 145344152 170993120 181680190 290688304 363360380 581376608 726720760 1453441520 2906883040