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9770010240 = 273518772711
BaseRepresentation
bin10010001100101011…
…01000011010000000
3221012212222221111010
421012111220122000
5130002110311430
64253245120520
7464052500604
oct110625503200
927185887433
109770010240
114163a09331
121a87b59140
13bc9162a63
146897b5504
153c2acccb0
hex246568680

9770010240 has 128 divisors (see below), whose sum is σ = 31169992320. Its totient is φ = 2602987520.

The previous prime is 9770010223. The next prime is 9770010241. The reversal of 9770010240 is 420100779.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 9770010198 and 9770010207.

It is not an unprimeable number, because it can be changed into a prime (9770010241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3602485 + ... + 3605195.

It is an arithmetic number, because the mean of its divisors is an integer number (243515565).

Almost surely, 29770010240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9770010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15584996160).

9770010240 is an abundant number, since it is smaller than the sum of its proper divisors (21399982080).

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

9770010240 is a wasteful number, since it uses less digits than its factorization.

9770010240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4610 (or 4598 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 9770010240 is about 98843.3621443544. The cubic root of 9770010240 is about 2137.7898280778.

The spelling of 9770010240 in words is "nine billion, seven hundred seventy million, ten thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1877 1920 2711 3754 5422 5631 7508 8133 9385 10844 11262 13555 15016 16266 18770 21688 22524 27110 28155 30032 32532 37540 40665 43376 45048 54220 56310 60064 65064 75080 81330 86752 90096 108440 112620 120128 130128 150160 162660 173504 180192 216880 225240 240256 260256 300320 325320 347008 360384 433760 450480 520512 600640 650640 720768 867520 900960 1041024 1201280 1301280 1735040 1801920 2602560 3603840 5088547 5205120 10177094 15265641 20354188 25442735 30531282 40708376 50885470 61062564 76328205 81416752 101770940 122125128 152656410 162833504 203541880 244250256 305312820 325667008 407083760 488500512 610625640 651334016 814167520 977001024 1221251280 1628335040 1954002048 2442502560 3256670080 4885005120 9770010240