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2901970640 = 245353102761
BaseRepresentation
bin1010110011111000…
…1000111011010000
321111020120101100002
42230332020323100
521420401030030
61155543145132
7131625225542
oct25476107320
97436511302
102901970640
11125a0a5548
1268ba451a8
133732b09ba
141d75a9692
1511eb7d245
hexacf88ed0

2901970640 has 40 divisors (see below), whose sum is σ = 6766261128. Its totient is φ = 1157488640.

The previous prime is 2901970619. The next prime is 2901970649. The reversal of 2901970640 is 460791092.

2901970640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 946915984 + 1955054656 = 30772^2 + 44216^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 2901970594 and 2901970603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2901970649) 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, 23141 + ... + 79620.

Almost surely, 22901970640 is an apocalyptic number.

2901970640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2901970640 is an abundant number, since it is smaller than the sum of its proper divisors (3864290488).

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

2901970640 is a wasteful number, since it uses less digits than its factorization.

2901970640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103127 (or 103121 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 38.

The square root of 2901970640 is about 53869.9418971285. The cubic root of 2901970640 is about 1426.3660875291.

The spelling of 2901970640 in words is "two billion, nine hundred one million, nine hundred seventy thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 353 706 1412 1765 2824 3530 5648 7060 14120 28240 102761 205522 411044 513805 822088 1027610 1644176 2055220 4110440 8220880 36274633 72549266 145098532 181373165 290197064 362746330 580394128 725492660 1450985320 2901970640